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1999-12-11 03:00:00
2025-04-28 00:58:08
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A001001
Number of sublattices of index n in generic 3-dimensional lattice.
[ "1", "7", "13", "35", "31", "91", "57", "155", "130", "217", "133", "455", "183", "399", "403", "651", "307", "910", "381", "1085", "741", "931", "553", "2015", "806", "1281", "1210", "1995", "871", "2821", "993", "2667", "1729", "2149", "1767", "4550", "1407", "2667", "2379", "4805", "1723", "5187", "1893", "4655", "4030", "3871", "2257", "8463", "2850", "5642", "3991", "6405", "2863" ]
[ "nonn", "easy", "nice", "mult" ]
106
1
2
[ "A001001", "A038991", "A038992", "A038993", "A038994", "A038995", "A038996", "A038997", "A038998", "A038999", "A053183", "A060983", "A061256", "A064987", "A160870", "A226313", "A301777" ]
null
N. J. A. Sloane
2025-04-10T22:04:25
oeisdata/seq/A001/A001001.seq
53d65d2c7ef942bf564112070b9dc099
A001002
Number of dissections of a convex (n+2)-gon into triangles and quadrilaterals by nonintersecting diagonals.
[ "1", "1", "3", "10", "38", "154", "654", "2871", "12925", "59345", "276835", "1308320", "6250832", "30142360", "146510216", "717061938", "3530808798", "17478955570", "86941210950", "434299921440", "2177832612120", "10959042823020", "55322023332420", "280080119609550", "1421744205767418", "7234759677699954" ]
[ "nonn", "easy", "nice" ]
165
0
3
[ "A001002", "A038112", "A104978", "A181997", "A181998", "A209441", "A209442", "A213684" ]
[ "M2852", "N1146" ]
N. J. A. Sloane
2025-02-08T20:38:19
oeisdata/seq/A001/A001002.seq
589f1698e3878b65b2955fdeccbc4159
A001003
Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers.
[ "1", "1", "3", "11", "45", "197", "903", "4279", "20793", "103049", "518859", "2646723", "13648869", "71039373", "372693519", "1968801519", "10463578353", "55909013009", "300159426963", "1618362158587", "8759309660445", "47574827600981", "259215937709463", "1416461675464871" ]
[ "nonn", "easy", "nice", "core" ]
725
0
3
[ "A000041", "A000081", "A000108", "A000311", "A001003", "A001190", "A001263", "A001699", "A003480", "A006125", "A006318", "A010683", "A011117", "A025240", "A027307", "A033282", "A033877", "A034015", "A035011", "A048996", "A054726", "A059435", "A065096", "A080243", "A085403", "A086456", "A086616", "A086810", "A088617", "A104219", "A104858", "A110440", "A111785", "A114710", "A118376", "A126216", "A139685", "A144097", "A144156", "A144944", "A153881", "A186826", "A243675", "A243676", "A260332", "A336573" ]
[ "M2898", "N1163" ]
N. J. A. Sloane
2025-03-26T11:31:05
oeisdata/seq/A001/A001003.seq
944ce6e170d7a08f810ea41b61d7553a
A001004
Number of nonequivalent dissections of an (n+2)-gon by nonintersecting diagonals up to rotation and reflection.
[ "1", "1", "2", "3", "9", "20", "75", "262", "1117", "4783", "21971", "102249", "489077", "2370142", "11654465", "57916324", "290693391", "1471341341", "7504177738", "38532692207", "199076194985", "1034236705992", "5400337050086", "28329240333758", "149244907249629" ]
[ "nonn", "nice", "easy" ]
45
0
3
[ "A001004", "A003454", "A003455", "A003456", "A005036", "A295260" ]
[ "M0898", "N0339" ]
N. J. A. Sloane
2024-09-21T08:44:05
oeisdata/seq/A001/A001004.seq
5dd94d0b76fe053ce83e5daee219965f
A001005
Number of ways of partitioning n points on a circle into subsets only of sizes 2 and 3.
[ "1", "0", "1", "1", "2", "5", "8", "21", "42", "96", "222", "495", "1177", "2717", "6435", "15288", "36374", "87516", "210494", "509694", "1237736", "3014882", "7370860", "18059899", "44379535", "109298070", "269766655", "667224480", "1653266565", "4103910930", "10203669285", "25408828065", "63364046190", "158229645720", "395632288590", "990419552730" ]
[ "nonn", "eigen" ]
114
0
5
[ "A001005", "A321201" ]
[ "M1353", "N0520" ]
N. J. A. Sloane
2024-12-27T00:45:46
oeisdata/seq/A001/A001005.seq
1e8ed939ad928df73ef9af8bcdad560f
A001006
Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle.
[ "1", "1", "2", "4", "9", "21", "51", "127", "323", "835", "2188", "5798", "15511", "41835", "113634", "310572", "853467", "2356779", "6536382", "18199284", "50852019", "142547559", "400763223", "1129760415", "3192727797", "9043402501", "25669818476", "73007772802", "208023278209", "593742784829", "1697385471211" ]
[ "nonn", "core", "easy", "nice", "changed" ]
1,099
0
3
[ "A000108", "A001006", "A001405", "A001850", "A004148", "A004149", "A005043", "A005717", "A005773", "A005817", "A006533", "A006561", "A006600", "A007569", "A007578", "A007579", "A007678", "A007971", "A020474", "A023421", "A023422", "A023423", "A026300", "A026945", "A039963", "A039964", "A049401", "A054726", "A064189", "A064191", "A064645", "A086246", "A088615", "A097862", "A099250", "A178515", "A182172", "A217275", "A258710", "A258711", "A258712", "A290277", "A299918", "A299919", "A299920" ]
[ "M1184", "N0456" ]
N. J. A. Sloane
2025-04-19T04:29:14
oeisdata/seq/A001/A001006.seq
e71cba6a9abdab678b33ced243a69339
A001007
a(n) = ( Sum C(p,i); i=1,...,floor(2p/3) ) / p^2, where p = prime(n).
[ "1", "2", "15", "42", "421", "1331", "15119", "618765", "2155578", "98032875", "1290154807", "4682196239", "63117678751", "3186252107917", "164886529617695", "616630679090258", "32763760653353135", "467443761039641135", "1768227793278781667", "96699391743949360451", "1402535447576150395335" ]
[ "nonn" ]
13
3
2
null
null
R. K. Guy
2013-01-21T14:03:47
oeisdata/seq/A001/A001007.seq
3758b681a8db9502b100a8e18943da3a
A001008
a(n) = numerator of harmonic number H(n) = Sum_{i=1..n} 1/i.
[ "1", "3", "11", "25", "137", "49", "363", "761", "7129", "7381", "83711", "86021", "1145993", "1171733", "1195757", "2436559", "42142223", "14274301", "275295799", "55835135", "18858053", "19093197", "444316699", "1347822955", "34052522467", "34395742267", "312536252003", "315404588903", "9227046511387" ]
[ "nonn", "frac", "nice", "easy" ]
351
1
2
[ "A001008", "A001220", "A002110", "A002805", "A003506", "A007406", "A007408", "A007410", "A014566", "A024451", "A034386", "A056903", "A067657", "A075135", "A106830", "A121999", "A125854", "A145609", "A145640", "A177427", "A177690", "A195505", "A250133", "A282511", "A282512", "A296358" ]
[ "M2885", "N1157" ]
N. J. A. Sloane
2025-03-22T13:33:18
oeisdata/seq/A001/A001008.seq
9d826b364b606468673becf599e28b43
A001009
Triangle giving number L(n,k) of normalized k X n Latin rectangles.
[ "1", "1", "1", "1", "1", "1", "1", "3", "4", "4", "1", "11", "46", "56", "56", "1", "53", "1064", "6552", "9408", "9408", "1", "309", "35792", "1293216", "11270400", "16942080", "16942080", "1", "2119", "1673792", "420909504", "27206658048", "335390189568", "535281401856", "535281401856", "1", "16687", "103443808" ]
[ "nonn", "tabl", "nice" ]
28
1
8
[ "A000573", "A000576", "A001009", "A001623" ]
null
Brendan McKay
2025-02-16T08:32:22
oeisdata/seq/A001/A001009.seq
4a4104f9043afe50b93da97dc1ba7ad1
A001010
Number of symmetric foldings of a strip of n stamps.
[ "1", "2", "2", "4", "6", "8", "18", "20", "56", "48", "178", "132", "574", "348", "1870", "1008", "6144", "2812", "20314", "8420", "67534", "24396", "225472", "74756", "755672", "222556", "2540406", "693692", "8564622", "2107748", "28941258", "6656376", "98011464", "20548932" ]
[ "nonn", "nice" ]
60
1
2
[ "A000682", "A001010", "A007822" ]
[ "M0323", "N0120" ]
N. J. A. Sloane, Stéphane Legendre
2025-02-16T08:32:22
oeisdata/seq/A001/A001010.seq
81c942fcf89f970ce4f468ef4a460436
A001011
Number of ways to fold a strip of n blank stamps.
[ "1", "1", "2", "5", "14", "38", "120", "353", "1148", "3527", "11622", "36627", "121622", "389560", "1301140", "4215748", "14146335", "46235800", "155741571", "512559195", "1732007938", "5732533570", "19423092113", "64590165281", "219349187968", "732358098471", "2492051377341", "8349072895553", "28459491475593" ]
[ "nonn", "nice" ]
127
1
3
[ "A000682", "A001011", "A086441" ]
[ "M1455", "N0576" ]
N. J. A. Sloane, Stéphane Legendre
2025-02-16T08:32:22
oeisdata/seq/A001/A001011.seq
11338e81b480ea5a7032c959072c0f6a
A001012
Erroneous version of A040082.
[ "1", "1", "1", "1", "2", "2", "22", "563", "1676257" ]
[ "dead" ]
10
0
5
null
null
null
2020-01-23T16:29:16
oeisdata/seq/A001/A001012.seq
1f78a65c86f1eebe193452b048bec0dd
A001013
Jordan-Polya numbers: products of factorial numbers A000142.
[ "1", "2", "4", "6", "8", "12", "16", "24", "32", "36", "48", "64", "72", "96", "120", "128", "144", "192", "216", "240", "256", "288", "384", "432", "480", "512", "576", "720", "768", "864", "960", "1024", "1152", "1296", "1440", "1536", "1728", "1920", "2048", "2304", "2592", "2880", "3072", "3456", "3840", "4096", "4320", "4608", "5040", "5184", "5760" ]
[ "nonn", "nice", "easy" ]
111
1
2
[ "A000142", "A001013", "A025487", "A034878", "A064783", "A093373", "A344179", "A344181", "A344438", "A359636", "A359751" ]
[ "M0993", "N0372" ]
N. J. A. Sloane
2025-02-16T08:32:22
oeisdata/seq/A001/A001013.seq
0e89f5bc6c5eb242be5952e712136e30
A001014
Sixth powers: a(n) = n^6.
[ "0", "1", "64", "729", "4096", "15625", "46656", "117649", "262144", "531441", "1000000", "1771561", "2985984", "4826809", "7529536", "11390625", "16777216", "24137569", "34012224", "47045881", "64000000", "85766121", "113379904", "148035889", "191102976", "244140625", "308915776", "387420489", "481890304" ]
[ "nonn", "easy", "mult" ]
154
0
3
[ "A000290", "A000540", "A000578", "A001014", "A002604", "A008292", "A013664", "A022522", "A123866", "A201217", "A275703" ]
[ "M5330", "N2318" ]
N. J. A. Sloane
2024-07-07T13:43:35
oeisdata/seq/A001/A001014.seq
e41374984e25664be8962e570480e201
A001015
Seventh powers: a(n) = n^7.
[ "0", "1", "128", "2187", "16384", "78125", "279936", "823543", "2097152", "4782969", "10000000", "19487171", "35831808", "62748517", "105413504", "170859375", "268435456", "410338673", "612220032", "893871739", "1280000000", "1801088541", "2494357888", "3404825447", "4586471424", "6103515625", "8031810176" ]
[ "nonn", "easy", "mult" ]
80
0
3
[ "A000584", "A001015", "A013665", "A275710", "A300785" ]
[ "M5392", "N2341" ]
N. J. A. Sloane
2022-04-13T13:25:15
oeisdata/seq/A001/A001015.seq
5e3c578124c81b8ef5e1d2fa7b187083
A001016
Eighth powers: a(n) = n^8.
[ "0", "1", "256", "6561", "65536", "390625", "1679616", "5764801", "16777216", "43046721", "100000000", "214358881", "429981696", "815730721", "1475789056", "2562890625", "4294967296", "6975757441", "11019960576", "16983563041", "25600000000", "37822859361", "54875873536", "78310985281", "110075314176" ]
[ "nonn", "easy", "mult" ]
79
0
3
[ "A000290", "A000542", "A000583", "A001016", "A013666", "A022524" ]
[ "M5426", "N2357" ]
N. J. A. Sloane
2024-05-05T20:02:28
oeisdata/seq/A001/A001016.seq
4eafbfa165448d3f0c4c831fc6f1182c
A001017
Ninth powers: a(n) = n^9.
[ "0", "1", "512", "19683", "262144", "1953125", "10077696", "40353607", "134217728", "387420489", "1000000000", "2357947691", "5159780352", "10604499373", "20661046784", "38443359375", "68719476736", "118587876497", "198359290368", "322687697779", "512000000000", "794280046581", "1207269217792" ]
[ "nonn", "mult", "easy" ]
73
0
3
[ "A000578", "A001017", "A013667", "A256581" ]
[ "M5459", "N2368" ]
N. J. A. Sloane
2023-10-27T19:09:05
oeisdata/seq/A001/A001017.seq
b7f48a1ca02256d5eb6fe3c954f172cd
A001018
Powers of 8: a(n) = 8^n.
[ "1", "8", "64", "512", "4096", "32768", "262144", "2097152", "16777216", "134217728", "1073741824", "8589934592", "68719476736", "549755813888", "4398046511104", "35184372088832", "281474976710656", "2251799813685248", "18014398509481984", "144115188075855872", "1152921504606846976", "9223372036854775808", "73786976294838206464", "590295810358705651712", "4722366482869645213696" ]
[ "nonn", "easy" ]
112
0
2
[ "A000079", "A000244", "A000302", "A000351", "A000400", "A000420", "A001018", "A001019", "A001029", "A008588", "A009964", "A009992", "A013730", "A013731", "A016969", "A032766", "A055274", "A067417", "A083233", "A087752", "A103333", "A157176", "A159991", "A165800", "A271939" ]
[ "M4555", "N1937" ]
N. J. A. Sloane
2025-02-16T08:32:22
oeisdata/seq/A001/A001018.seq
bd9dbdd876150e78c1ec7ba962de8d9c
A001019
Powers of 9: a(n) = 9^n.
[ "1", "9", "81", "729", "6561", "59049", "531441", "4782969", "43046721", "387420489", "3486784401", "31381059609", "282429536481", "2541865828329", "22876792454961", "205891132094649", "1853020188851841", "16677181699666569", "150094635296999121", "1350851717672992089", "12157665459056928801" ]
[ "easy", "nonn" ]
111
0
2
[ "A001019", "A016189", "A052382", "A067470" ]
[ "M4653", "N1992" ]
N. J. A. Sloane
2024-02-05T10:55:13
oeisdata/seq/A001/A001019.seq
d578d6c944f617248d901ab877b4f636
A001020
Powers of 11: a(n) = 11^n.
[ "1", "11", "121", "1331", "14641", "161051", "1771561", "19487171", "214358881", "2357947691", "25937424601", "285311670611", "3138428376721", "34522712143931", "379749833583241", "4177248169415651", "45949729863572161", "505447028499293771", "5559917313492231481", "61159090448414546291" ]
[ "nonn", "easy" ]
107
0
2
[ "A001020", "A007318", "A096884", "A097659" ]
[ "M4807", "N2054" ]
N. J. A. Sloane
2025-01-06T01:29:47
oeisdata/seq/A001/A001020.seq
048de9b17507a66189d0e4e50431d374
A001021
Powers of 12.
[ "1", "12", "144", "1728", "20736", "248832", "2985984", "35831808", "429981696", "5159780352", "61917364224", "743008370688", "8916100448256", "106993205379072", "1283918464548864", "15407021574586368", "184884258895036416", "2218611106740436992" ]
[ "nonn", "easy" ]
90
0
2
[ "A000005", "A000244", "A000302", "A000351", "A000384", "A001021", "A001222", "A008585", "A008776", "A016125", "A024140", "A100851", "A159991", "A178248" ]
[ "M4869", "N2084" ]
N. J. A. Sloane
2024-04-28T11:32:16
oeisdata/seq/A001/A001021.seq
87df528dcea7eada206ca809d1ad22e0
A001022
Powers of 13.
[ "1", "13", "169", "2197", "28561", "371293", "4826809", "62748517", "815730721", "10604499373", "137858491849", "1792160394037", "23298085122481", "302875106592253", "3937376385699289", "51185893014090757", "665416609183179841", "8650415919381337933", "112455406951957393129", "1461920290375446110677", "19004963774880799438801" ]
[ "nonn", "easy" ]
78
0
2
[ "A001021", "A001022" ]
[ "M4914", "N2107" ]
N. J. A. Sloane
2024-06-16T12:34:11
oeisdata/seq/A001/A001022.seq
d6c8619a7160ebd91dd3204e74544411
A001023
Powers of 14.
[ "1", "14", "196", "2744", "38416", "537824", "7529536", "105413504", "1475789056", "20661046784", "289254654976", "4049565169664", "56693912375296", "793714773254144", "11112006825558016", "155568095557812224", "2177953337809371136", "30491346729331195904", "426878854210636742656", "5976303958948914397184", "83668255425284801560576" ]
[ "nonn", "easy" ]
83
0
2
[ "A000005", "A000290", "A001023", "A160193", "A329332" ]
[ "M4949", "N2120" ]
N. J. A. Sloane
2023-07-12T12:27:13
oeisdata/seq/A001/A001023.seq
170052996154c90195d74fa3226acc70
A001024
Powers of 15.
[ "1", "15", "225", "3375", "50625", "759375", "11390625", "170859375", "2562890625", "38443359375", "576650390625", "8649755859375", "129746337890625", "1946195068359375", "29192926025390625", "437893890380859375", "6568408355712890625", "98526125335693359375", "1477891880035400390625", "22168378200531005859375", "332525673007965087890625" ]
[ "nonn", "easy" ]
81
0
2
[ "A000302", "A001024", "A159991", "A329332" ]
[ "M4990", "N2147" ]
N. J. A. Sloane
2023-07-12T12:27:54
oeisdata/seq/A001/A001024.seq
34447d7b01d49279251cfebeef699b9f
A001025
Powers of 16: a(n) = 16^n.
[ "1", "16", "256", "4096", "65536", "1048576", "16777216", "268435456", "4294967296", "68719476736", "1099511627776", "17592186044416", "281474976710656", "4503599627370496", "72057594037927936", "1152921504606846976", "18446744073709551616", "295147905179352825856", "4722366482869645213696", "75557863725914323419136", "1208925819614629174706176" ]
[ "nonn", "easy" ]
100
0
2
[ "A000079", "A000302", "A001018", "A001025", "A005843", "A008586", "A131865" ]
[ "M5021", "N2164" ]
N. J. A. Sloane
2023-07-12T12:28:34
oeisdata/seq/A001/A001025.seq
467864acff9e045f1904b3d195f7594b
A001026
Powers of 17.
[ "1", "17", "289", "4913", "83521", "1419857", "24137569", "410338673", "6975757441", "118587876497", "2015993900449", "34271896307633", "582622237229761", "9904578032905937", "168377826559400929", "2862423051509815793", "48661191875666868481", "827240261886336764177", "14063084452067724991009", "239072435685151324847153", "4064231406647572522401601" ]
[ "nonn", "easy" ]
76
0
2
null
[ "M5048", "N2182" ]
N. J. A. Sloane
2023-07-12T12:29:11
oeisdata/seq/A001/A001026.seq
ce3021e944813552cbafdd1fe991b03c
A001027
Powers of 18.
[ "1", "18", "324", "5832", "104976", "1889568", "34012224", "612220032", "11019960576", "198359290368", "3570467226624", "64268410079232", "1156831381426176", "20822964865671168", "374813367582081024", "6746640616477458432", "121439531096594251776", "2185911559738696531968", "39346408075296537575424", "708235345355337676357632", "12748236216396078174437376" ]
[ "nonn", "easy" ]
73
0
2
null
[ "M5062", "N2192" ]
N. J. A. Sloane
2023-07-12T12:29:48
oeisdata/seq/A001/A001027.seq
310e4eb129a2d99d91124028afb138d5
A001028
E.g.f. satisfies A'(x) = 1 + A(A(x)), A(0)=0.
[ "1", "1", "2", "7", "37", "269", "2535", "29738", "421790", "7076459", "138061343", "3089950076", "78454715107", "2238947459974", "71253947372202", "2511742808382105", "97495087989736907", "4145502184671892500", "192200099033324115855", "9676409879981926733908", "527029533717566423156698" ]
[ "nonn", "eigen", "nice" ]
68
1
3
[ "A001028", "A030266", "A035049" ]
null
Peter J. Cameron
2023-10-27T18:03:31
oeisdata/seq/A001/A001028.seq
f5a8b36c0007f1011d311a8b75ef67b4
A001029
Powers of 19.
[ "1", "19", "361", "6859", "130321", "2476099", "47045881", "893871739", "16983563041", "322687697779", "6131066257801", "116490258898219", "2213314919066161", "42052983462257059", "799006685782884121", "15181127029874798299", "288441413567621167681", "5480386857784802185939", "104127350297911241532841", "1978419655660313589123979", "37589973457545958193355601" ]
[ "nonn", "easy" ]
70
0
2
null
[ "M5079", "N2198" ]
N. J. A. Sloane
2023-07-12T12:30:39
oeisdata/seq/A001/A001029.seq
945550b5140d658211de244ccce6b739
A001030
Fixed under 1 -> 21, 2 -> 211.
[ "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "2", "1", "1", "2", "1", "2", "1", "1", "2", "1", "2" ]
[ "nonn", "nice", "easy" ]
93
1
1
[ "A000129", "A000201", "A001030", "A001468", "A001950", "A003622", "A003842", "A003849", "A004641", "A005614", "A014675", "A022342", "A088462", "A096270", "A114986", "A124841" ]
[ "M0068", "N0021" ]
N. J. A. Sloane
2023-12-24T01:19:37
oeisdata/seq/A001/A001030.seq
ed3d792a1564179f9867055eeeabde28
A001031
Goldbach conjecture: a(n) = number of decompositions of 2n into sum of two primes (counting 1 as a prime).
[ "1", "2", "2", "2", "2", "2", "3", "2", "3", "3", "3", "4", "3", "2", "4", "3", "4", "4", "3", "3", "5", "4", "4", "6", "4", "3", "6", "3", "4", "7", "4", "5", "6", "3", "5", "7", "6", "5", "7", "5", "5", "9", "5", "4", "10", "4", "5", "7", "4", "6", "9", "6", "6", "9", "7", "7", "11", "6", "6", "12", "4", "5", "10", "4", "7", "10", "6", "5", "9", "8", "8", "11", "6", "5", "13", "5", "8", "11", "6", "8", "10", "6", "6", "14", "9", "6", "12", "7", "7", "15", "7", "8", "13", "5", "8", "12", "8", "9" ]
[ "nonn", "easy", "nice" ]
71
1
2
[ "A001031", "A002372", "A002373", "A002374", "A002375", "A006307", "A008578", "A010051", "A045917" ]
[ "M0213", "N0077" ]
N. J. A. Sloane
2025-02-16T08:32:22
oeisdata/seq/A001/A001031.seq
93c7993272ef4bbd16cc0c4dd6711133
A001032
Numbers k such that sum of squares of k consecutive integers >= 1 is a square.
[ "1", "2", "11", "23", "24", "26", "33", "47", "49", "50", "59", "73", "74", "88", "96", "97", "107", "121", "122", "146", "169", "177", "184", "191", "193", "194", "218", "239", "241", "242", "249", "289", "297", "299", "311", "312", "313", "337", "338", "347", "352", "361", "362", "376", "383", "393", "407", "409", "431", "443", "457", "458", "479", "481", "491", "506" ]
[ "nonn", "easy", "nice" ]
111
1
2
[ "A001032", "A007475", "A076215", "A097812", "A151557", "A274469" ]
[ "M1996", "N0787" ]
N. J. A. Sloane
2025-02-16T08:32:22
oeisdata/seq/A001/A001032.seq
b25d052a0e28227992b3e28aafd50e4c
A001033
Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.
[ "1", "16", "25", "33", "49", "52", "64", "73", "97", "100", "121", "148", "169", "177", "193", "196", "241", "244", "249", "256", "276", "289", "292", "297", "313", "337", "361", "388", "393", "400", "409", "457", "481", "484", "528", "529", "537", "577", "592", "625", "628", "649", "673", "676", "708", "724", "753", "772", "784", "793", "832", "841", "852", "897", "913", "961", "964", "976", "996" ]
[ "nonn", "nice", "easy" ]
56
1
2
[ "A001033", "A056131", "A056132", "A274470" ]
[ "M4999", "N2152" ]
N. J. A. Sloane
2018-02-28T10:30:41
oeisdata/seq/A001/A001033.seq
d791d5e8a7e2dc9605646b86b511deaf
A001034
Orders of noncyclic simple groups (without repetition).
[ "60", "168", "360", "504", "660", "1092", "2448", "2520", "3420", "4080", "5616", "6048", "6072", "7800", "7920", "9828", "12180", "14880", "20160", "25308", "25920", "29120", "32736", "34440", "39732", "51888", "58800", "62400", "74412", "95040", "102660", "113460", "126000", "150348", "175560", "178920" ]
[ "nonn", "nice", "core" ]
76
1
1
[ "A000001", "A000679", "A001034", "A001228", "A005180", "A056866", "A056868", "A060793", "A109379", "A119630", "A119648" ]
[ "M5318", "N2311" ]
N. J. A. Sloane, Simon Plouffe
2024-06-14T22:31:08
oeisdata/seq/A001/A001034.seq
f8f3866179ed1f303eea2110c89532cc
A001035
Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs).
[ "1", "1", "3", "19", "219", "4231", "130023", "6129859", "431723379", "44511042511", "6611065248783", "1396281677105899", "414864951055853499", "171850728381587059351", "98484324257128207032183", "77567171020440688353049939", "83480529785490157813844256579", "122152541250295322862941281269151", "241939392597201176602897820148085023" ]
[ "nonn", "nice" ]
227
0
3
[ "A000110", "A000112", "A000798", "A001035", "A001927", "A001929", "A001930", "A006056", "A006057", "A006058", "A006059", "A316978", "A319564", "A326876", "A326906", "A326939", "A326943", "A326944", "A326947" ]
[ "M3068", "N1244" ]
N. J. A. Sloane
2025-03-10T17:23:45
oeisdata/seq/A001/A001035.seq
9281f75805ff217ff9f1a29eebb346b3
A001036
Partial sums of A001037, omitting A001037(1).
[ "1", "2", "4", "7", "13", "22", "40", "70", "126", "225", "411", "746", "1376", "2537", "4719", "8799", "16509", "31041", "58635", "111012", "210870", "401427", "766149", "1465019", "2807195", "5387990", "10358998", "19945393", "38458183", "74248450", "143522116", "277737796", "538038782", "1043325197" ]
[ "nonn", "easy" ]
30
1
2
[ "A001036", "A001037", "A062692" ]
[ "M1067", "N0403" ]
N. J. A. Sloane
2023-08-24T02:31:43
oeisdata/seq/A001/A001036.seq
bbc191dff40564c92ae0c646ab287ba3
A001037
Number of degree-n irreducible polynomials over GF(2); number of n-bead necklaces with beads of 2 colors when turning over is not allowed and with primitive period n; number of binary Lyndon words of length n.
[ "1", "2", "1", "2", "3", "6", "9", "18", "30", "56", "99", "186", "335", "630", "1161", "2182", "4080", "7710", "14532", "27594", "52377", "99858", "190557", "364722", "698870", "1342176", "2580795", "4971008", "9586395", "18512790", "35790267", "69273666", "134215680", "260300986", "505286415", "981706806", "1908866960", "3714566310", "7233615333", "14096302710", "27487764474" ]
[ "nonn", "core", "easy", "nice" ]
250
0
2
[ "A000010", "A000031", "A000079", "A001037", "A006206", "A006208", "A008683", "A011260", "A014580", "A027750", "A038063", "A046209", "A046211", "A051168", "A058943", "A058944", "A058945", "A058946", "A058947", "A058948", "A058949", "A058950", "A058951", "A058952", "A059966", "A060477", "A074650", "A102569", "A102659", "A103314", "A254040" ]
[ "M0116", "N0046", "N0287" ]
N. J. A. Sloane
2025-03-24T21:55:11
oeisdata/seq/A001/A001037.seq
1d156309f9c52eec99b4a44be3bc9508
A001038
Invertible Boolean functions with GL(n,2) acting on the domain and range.
[ "2", "2", "10", "52246", "2631645209645100680144", "312242081385925594286511113384607360432260178128338777217975928751832" ]
[ "nonn" ]
29
1
1
[ "A000652", "A000653", "A000654", "A000722", "A001038", "A001537", "A046856", "A046857" ]
[ "M0386", "N0146" ]
N. J. A. Sloane
2022-02-03T02:28:38
oeisdata/seq/A001/A001038.seq
f43b767924a48f013f9c19ad3e8db94d
A001039
a(n) = (p^p-1)/(p-1) where p = prime(n).
[ "3", "13", "781", "137257", "28531167061", "25239592216021", "51702516367896047761", "109912203092239643840221", "949112181811268728834319677753", "91703076898614683377208150526107718802981" ]
[ "nonn", "easy" ]
46
1
1
[ "A001039", "A054767", "A214811" ]
[ "M2964", "N1199" ]
N. J. A. Sloane
2022-07-18T19:23:41
oeisdata/seq/A001/A001039.seq
8c65ccce37a58918f16df248895643fd
A001040
a(n+1) = n*a(n) + a(n-1) with a(0)=0, a(1)=1.
[ "0", "1", "1", "3", "10", "43", "225", "1393", "9976", "81201", "740785", "7489051", "83120346", "1004933203", "13147251985", "185066460993", "2789144166880", "44811373131073", "764582487395121", "13807296146243251", "263103209266016890", "5275871481466581051", "111056404320064218961", "2448516766522879398193" ]
[ "easy", "nonn", "nice", "frac" ]
133
0
4
[ "A001040", "A001053", "A058279", "A058294", "A058307", "A102472", "A102473", "A127701", "A166486" ]
[ "M2863", "N1151" ]
N. J. A. Sloane, R. K. Guy
2025-02-16T08:32:22
oeisdata/seq/A001/A001040.seq
9fc98e9166b09e707c0e58c0687cd0f1
A001041
a(0)=12; thereafter a(n) = 12 times the product of the first n primes.
[ "12", "24", "72", "360", "2520", "27720", "360360", "6126120", "116396280", "2677114440", "77636318760", "2406725881560", "89048857617720", "3651003162326520", "156993135980040360", "7378677391061896920", "391069901726280536760", "23073124201850551668840" ]
[ "nonn", "easy" ]
36
0
1
[ "A001041", "A002110" ]
null
Bob Marshall, 1811 California St., Eureka CA 95501.
2022-09-08T08:44:28
oeisdata/seq/A001/A001041.seq
13603a4528dbfe3ee9fa6dd3cbc001db
A001042
a(n) = a(n-1)^2 - a(n-2)^2.
[ "1", "2", "3", "5", "16", "231", "53105", "2820087664", "7952894429824835871", "63248529811938901240357985099443351745", "4000376523371723941902615329287219027543200136435757892789536976747706216384" ]
[ "nonn", "nice", "easy" ]
36
0
2
[ "A000278", "A000283", "A001042", "A001146", "A007018", "A058182", "A064236" ]
[ "M0743", "N0279" ]
N. J. A. Sloane, R. K. Guy
2025-01-09T08:03:59
oeisdata/seq/A001/A001042.seq
b2889ecbbe7c4dedc58e911ae50fe9b6
A001043
Numbers that are the sum of 2 successive primes.
[ "5", "8", "12", "18", "24", "30", "36", "42", "52", "60", "68", "78", "84", "90", "100", "112", "120", "128", "138", "144", "152", "162", "172", "186", "198", "204", "210", "216", "222", "240", "258", "268", "276", "288", "300", "308", "320", "330", "340", "352", "360", "372", "384", "390", "396", "410", "434", "450", "456", "462", "472", "480", "492", "508", "520" ]
[ "nonn", "nice", "easy" ]
110
1
1
[ "A000040", "A001043", "A031131", "A050936", "A092163", "A100479" ]
[ "M3780", "N0968" ]
N. J. A. Sloane, R. K. Guy
2025-01-20T06:01:59
oeisdata/seq/A001/A001043.seq
2469b1504271e335c6b0f1672b5096b3
A001044
a(n) = (n!)^2.
[ "1", "1", "4", "36", "576", "14400", "518400", "25401600", "1625702400", "131681894400", "13168189440000", "1593350922240000", "229442532802560000", "38775788043632640000", "7600054456551997440000", "1710012252724199424000000", "437763136697395052544000000", "126513546505547170185216000000" ]
[ "nonn", "easy", "nice" ]
237
0
3
[ "A000142", "A000290", "A000292", "A000442", "A001044", "A008955", "A020549", "A046032", "A048617", "A084939", "A084940", "A084941", "A084942", "A084943", "A084944", "A134375", "A134434", "A134435", "A225816", "A288580" ]
[ "M3666", "N1492" ]
N. J. A. Sloane, R. K. Guy
2024-12-11T15:54:19
oeisdata/seq/A001/A001044.seq
1658cdfc5be2e2dfccc92f54e7b52d2c
A001045
Jacobsthal sequence (or Jacobsthal numbers): a(n) = a(n-1) + 2*a(n-2), with a(0) = 0, a(1) = 1; also a(n) = nearest integer to 2^n/3.
[ "0", "1", "1", "3", "5", "11", "21", "43", "85", "171", "341", "683", "1365", "2731", "5461", "10923", "21845", "43691", "87381", "174763", "349525", "699051", "1398101", "2796203", "5592405", "11184811", "22369621", "44739243", "89478485", "178956971", "357913941", "715827883", "1431655765", "2863311531", "5726623061", "11453246123" ]
[ "nonn", "nice", "easy", "core", "changed" ]
1,255
0
4
[ "A000045", "A000225", "A000975", "A000978", "A000979", "A001045", "A002083", "A002450", "A002487", "A002605", "A003158", "A005578", "A007583", "A014551", "A015266", "A015287", "A015305", "A015323", "A015338", "A015356", "A015371", "A019322", "A026644", "A049883", "A052129", "A059260", "A064934", "A066845", "A073370", "A077925", "A081857", "A084175", "A091084", "A105348", "A107036", "A113405", "A129738", "A130249", "A130250", "A130253", "A134317", "A138000", "A147612", "A147613", "A156319", "A156667", "A175286", "A239473", "A245489", "A266508", "A280049", "A283641" ]
[ "M2482", "N0983" ]
N. J. A. Sloane
2025-04-18T13:17:52
oeisdata/seq/A001/A001045.seq
35a646074a1af71e387054ad5919c18d
A001046
a(n) = n*(n-1)*a(n-1)/2 + a(n-2), a(0) = a(1) = 1.
[ "1", "1", "2", "7", "44", "447", "6749", "142176", "3987677", "143698548", "6470422337", "356016927083", "23503587609815", "1833635850492653", "166884365982441238", "17524692064006822643", "2103129932046801158398", "286043195450428964364771", "43766712033847678348968361" ]
[ "nonn", "easy" ]
36
0
3
[ "A001046", "A001052" ]
[ "M1811", "N0717" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A001/A001046.seq
7398ad717ecfd899aa6487f259e6b687
A001047
a(n) = 3^n - 2^n.
[ "0", "1", "5", "19", "65", "211", "665", "2059", "6305", "19171", "58025", "175099", "527345", "1586131", "4766585", "14316139", "42981185", "129009091", "387158345", "1161737179", "3485735825", "10458256051", "31376865305", "94134790219", "282412759265", "847255055011", "2541798719465", "7625463267259", "22876524019505" ]
[ "nonn", "easy", "nice" ]
331
0
3
[ "A000225", "A000244", "A000392", "A001047", "A002997", "A016189", "A028243", "A036561", "A038719", "A038876", "A047969", "A057468", "A090888", "A091913", "A097934", "A109235", "A127071", "A127072", "A127073", "A127074", "A240400", "A241759", "A241766", "A262307", "A281890", "A329064", "A350771" ]
[ "M3887", "N1596" ]
N. J. A. Sloane, R. K. Guy
2025-03-14T15:04:16
oeisdata/seq/A001/A001047.seq
a2b09cabcb4693cbfe15a10796fbfbb0
A001048
a(n) = n! + (n-1)!.
[ "2", "3", "8", "30", "144", "840", "5760", "45360", "403200", "3991680", "43545600", "518918400", "6706022400", "93405312000", "1394852659200", "22230464256000", "376610217984000", "6758061133824000", "128047474114560000", "2554547108585472000", "53523844179886080000", "1175091669949317120000" ]
[ "nonn", "easy" ]
141
1
1
[ "A001048", "A059171", "A162990", "A276588", "A276955", "A282466", "A334397" ]
[ "M0890", "N0337" ]
N. J. A. Sloane, R. K. Guy
2025-02-16T08:32:22
oeisdata/seq/A001/A001048.seq
bb943750ad17afe0dada787ba449236a
A001049
Numbered stops in Manhattan on the Lexington Avenue subway.
[ "8", "14", "23", "28", "33", "42", "51", "59", "68", "77", "86", "96", "103", "110", "116", "125" ]
[ "nonn", "fini", "full" ]
12
1
1
[ "A000053", "A000054", "A001049", "A007826" ]
null
Howard Givner
2015-08-22T10:09:48
oeisdata/seq/A001/A001049.seq
6513f38ecb65673ddc7d0656b5baa4ae
A001050
Number of letters in n (in Finnish).
[ "5", "4", "5", "5", "5", "5", "5", "9", "9", "8", "8", "10", "11", "11", "11", "11", "11", "15", "15", "14", "13", "17", "18", "18", "18", "18", "18", "22", "22", "21", "13", "17", "18", "18", "18", "18", "18", "22", "22", "21", "13", "17", "18", "18", "18", "18", "18", "22", "22", "21", "13", "17", "18", "18", "18", "18", "18", "22", "22", "21", "13", "17", "18", "18", "18", "18", "18" ]
[ "nonn", "word" ]
34
0
1
null
null
Mikko-Juhani Kallio (mkallio(AT)snakemail.hut.fi)
2020-07-06T22:59:56
oeisdata/seq/A001/A001050.seq
a4ef7551a26d4a79fec2dfeaa5a5f387
A001051
Number of subgroups of order n in orthogonal group O(3).
[ "1", "3", "1", "5", "1", "5", "1", "7", "1", "5", "1", "8", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "10", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "8", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "8", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "7", "1", "5", "1", "8" ]
[ "nonn", "easy", "nice" ]
20
1
2
[ "A000001", "A000019", "A000637", "A000638", "A000679", "A001034", "A001051", "A001228", "A002106", "A005180", "A005432", "A051881" ]
null
J. H. Conway
2025-02-16T08:32:22
oeisdata/seq/A001/A001051.seq
7feed6f4bd4925d5871a6f63746d7340
A001052
a(n) = n*(n-1)*a(n-1)/2 + a(n-2), a(0) = 1, a(1) = 2.
[ "1", "2", "3", "11", "69", "701", "10584", "222965", "6253604", "225352709", "10147125509", "558317255704", "36859086001973", "2875567025409598", "261713458398275391", "27482788698844325653", "3298196357319717353751", "448582187384180404435789", "68636372866136921596029468" ]
[ "nonn", "easy" ]
29
0
2
[ "A001046", "A001052" ]
[ "M0911", "N0343" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A001/A001052.seq
66ce661db132672e9d60c993fcad9c90
A001053
a(n+1) = n*a(n) + a(n-1) with a(0)=1, a(1)=0.
[ "1", "0", "1", "2", "7", "30", "157", "972", "6961", "56660", "516901", "5225670", "57999271", "701216922", "9173819257", "129134686520", "1946194117057", "31268240559432", "533506283627401", "9634381345852650", "183586751854827751", "3681369418442407670", "77492344539145388821", "1708512949279640961732" ]
[ "easy", "nonn", "nice" ]
119
0
4
[ "A001040", "A001053", "A058294", "A058798", "A060997", "A121554", "A144656" ]
[ "M1783", "N0704" ]
N. J. A. Sloane, R. K. Guy
2025-02-16T08:32:22
oeisdata/seq/A001/A001053.seq
c1aa627a541196bd1d75f8a1f96c6bec
A001054
a(n) = a(n-1)*a(n-2) - 1.
[ "0", "1", "-1", "-2", "1", "-3", "-4", "11", "-45", "-496", "22319", "-11070225", "-247076351776", "2735190806339469599", "-675800965841611881515781657825", "-1848444588685310753420392017318175868503407962176" ]
[ "easy", "sign" ]
27
0
4
null
null
R. K. Guy
2022-09-08T08:44:28
oeisdata/seq/A001/A001054.seq
451ccf1e7fabb0608d9c00686299d58d
A001055
The multiplicative partition function: number of ways of factoring n with all factors greater than 1 (a(1) = 1 by convention).
[ "1", "1", "1", "2", "1", "2", "1", "3", "2", "2", "1", "4", "1", "2", "2", "5", "1", "4", "1", "4", "2", "2", "1", "7", "2", "2", "3", "4", "1", "5", "1", "7", "2", "2", "2", "9", "1", "2", "2", "7", "1", "5", "1", "4", "4", "2", "1", "12", "2", "4", "2", "4", "1", "7", "2", "7", "2", "2", "1", "11", "1", "2", "4", "11", "2", "5", "1", "4", "2", "5", "1", "16", "1", "2", "4", "4", "2", "5", "1", "12", "5", "2", "1", "11", "2", "2", "2", "7", "1", "11", "2", "4", "2", "2", "2", "19", "1", "4", "4", "9", "1", "5", "1" ]
[ "nonn", "easy", "nice", "core" ]
175
1
4
[ "A000009", "A000041", "A001055", "A002033", "A002865", "A003963", "A005171", "A033833", "A033834", "A045778", "A045782", "A050322", "A050336", "A051731", "A057567", "A057568", "A064553", "A064554", "A064555", "A069016", "A077565", "A096276", "A097296", "A114324", "A190938", "A216599", "A216600", "A216601", "A216602", "A301987", "A316439", "A318950", "A319000", "A319005", "A319916", "A379666", "A379668", "A379671", "A379733", "A379734", "A380959" ]
[ "M0095", "N0032" ]
N. J. A. Sloane
2025-02-16T08:32:22
oeisdata/seq/A001/A001055.seq
5c4d54fd2cd20927fb1721401be6097f
A001056
a(n) = a(n-1)*a(n-2) + 1, a(0) = 1, a(1) = 3.
[ "1", "3", "4", "13", "53", "690", "36571", "25233991", "922832284862", "23286741570717144243", "21489756930695820973683319349467", "500426416062641238759467086706254193219790764168482", "10754042042885415070816603338436200915110904821126871858491675028294447933424899095" ]
[ "nonn", "easy", "nice" ]
43
0
2
[ "A001056", "A001622", "A258112" ]
[ "M2378", "N0944" ]
N. J. A. Sloane, R. K. Guy
2025-01-09T08:04:45
oeisdata/seq/A001/A001056.seq
e99147b236811e624965a792ec0afd30
A001057
Canonical enumeration of integers: interleaved positive and negative integers with zero prepended.
[ "0", "1", "-1", "2", "-2", "3", "-3", "4", "-4", "5", "-5", "6", "-6", "7", "-7", "8", "-8", "9", "-9", "10", "-10", "11", "-11", "12", "-12", "13", "-13", "14", "-14", "15", "-15", "16", "-16", "17", "-17", "18", "-18", "19", "-19", "20", "-20", "21", "-21", "22", "-22", "23", "-23", "24", "-24", "25", "-25", "26", "-26", "27", "-27", "28", "-28", "29", "-29", "30", "-30", "31", "-31" ]
[ "sign", "nice", "core", "easy" ]
144
0
4
[ "A001057", "A004526", "A008619", "A010551", "A104578", "A130472", "A142150", "A166711", "A166871" ]
null
N. J. A. Sloane
2025-03-27T18:33:43
oeisdata/seq/A001/A001057.seq
35960edb12598d99e9c654ef836bf04c
A001058
1-digit numbers in reverse alphabetical order, then 2-digit numbers, etc.
[ "0", "2", "3", "6", "7", "1", "9", "4", "5", "8", "22", "23", "26", "27", "21", "29", "24", "25", "28", "20", "12", "32", "33", "36", "37", "31", "39", "34", "35", "38", "30", "13", "10", "62", "63", "66", "67", "61", "69", "64", "65", "68", "60", "16", "72", "73", "76", "77", "71", "79", "74", "75", "78", "70", "17", "92", "93", "96", "97", "91", "99", "94", "95", "98", "90", "19", "14", "42", "43", "46", "47", "41" ]
[ "word", "nonn", "base" ]
24
1
2
[ "A000052", "A001058" ]
null
N. J. A. Sloane, Vijay10(AT)aol.com (Ajay Sudan)
2022-11-19T05:38:29
oeisdata/seq/A001/A001058.seq
990ad6c6d6490e30ed0d464b4cf77c3f
A001059
Number of doubly labeled heap-ordered trees.
[ "1", "1", "5", "59", "1263", "42713", "2094399", "140434335", "12340275539", "1375857855221", "189751578038547", "31714568837559539", "6316261763436325285", "1477890415844440910325", "401400487846091289175217", "125247016772173387008904623", "44493481073675052201518261955" ]
[ "nonn" ]
30
0
3
[ "A001059", "A001147" ]
null
Helmut Prodinger
2022-09-17T03:12:12
oeisdata/seq/A001/A001059.seq
510b808602a43bf191116d3801430a04
A001060
a(n) = a(n-1) + a(n-2) with a(0)=2, a(1)=5. Sometimes called the Evangelist Sequence.
[ "2", "5", "7", "12", "19", "31", "50", "81", "131", "212", "343", "555", "898", "1453", "2351", "3804", "6155", "9959", "16114", "26073", "42187", "68260", "110447", "178707", "289154", "467861", "757015", "1224876", "1981891", "3206767", "5188658", "8395425", "13584083", "21979508", "35563591", "57543099", "93106690", "150649789" ]
[ "nonn", "easy" ]
135
0
1
[ "A000032", "A000045", "A000285", "A001060", "A013655", "A104449" ]
[ "M1338", "N0512" ]
N. J. A. Sloane
2025-02-16T08:32:22
oeisdata/seq/A001/A001060.seq
0b8ba70e175b719414b0456a620a2893
A001061
1-, 2-, 3-, ... digit numbers in alphabetical order in German.
[ "8", "3", "1", "5", "9", "0", "6", "7", "4", "2", "88", "38", "58", "98", "68", "78", "48", "28", "18", "80", "30", "83", "33", "53", "93", "63", "73", "43", "23", "13", "81", "31", "51", "91", "61", "71", "41", "21", "11", "85", "35", "55", "95", "65", "75", "45", "25", "15", "50", "89", "39", "59", "99", "69", "79", "49", "29", "19", "90" ]
[ "word", "nonn" ]
17
1
1
null
null
N. J. A. Sloane
2017-12-26T03:19:23
oeisdata/seq/A001/A001061.seq
28d88ffe2244f5b02a959d713d6c3c2d
A001062
1-, 2-, 3- ... digit numbers in alphabetical order in French (incorrect version, see A187876 for the correct version).
[ "5", "2", "8", "9", "4", "7", "6", "3", "1", "0", "50", "55", "52", "51", "58", "59", "54", "57", "56", "53", "10", "18", "19", "17", "12", "11", "40", "45", "42", "41", "48", "49", "44", "47", "46", "43", "14", "80", "85", "82", "90", "98", "99", "97", "92", "88", "89", "91", "94", "84", "95", "96", "87", "86", "93", "83", "81", "15", "16", "60", "70", "78", "79", "77", "72", "71", "74", "75", "76", "73", "13", "30" ]
[ "dead" ]
35
1
1
[ "A001062", "A187876" ]
null
N. J. A. Sloane, Simon Plouffe
2024-06-30T09:03:18
oeisdata/seq/A001/A001062.seq
ba7c3f61697a64e87f5ddd9ecdcb4206
A001063
E.g.f. satisfies A'(x) = A(x/(1-x)).
[ "1", "1", "1", "3", "15", "111", "1131", "15081", "253473", "5220225", "128886921", "3749014251", "126648293391", "4909623331023", "216189866951235", "10718939718977121", "593865369943409601", "36520856568972350721", "2478236630512178688273", "184588566642520989171795", "15020141103053997234030351" ]
[ "nonn", "eigen" ]
25
0
4
null
null
Peter J. Cameron
2018-04-10T02:36:35
oeisdata/seq/A001/A001063.seq
df7e6f4d167bdb11adb9c32b3c615f3a
A001064
a(n) = a(n-1)*a(n-2) + a(n-3).
[ "1", "1", "0", "1", "1", "1", "2", "3", "7", "23", "164", "3779", "619779", "2342145005", "1451612289057674", "3399886472013047316638149", "4935316984175079105557291745555191750431", "16779517449593082173916263081219908459297087421776218065830849893" ]
[ "nonn", "easy" ]
33
0
7
null
[ "M0859", "N0328" ]
N. J. A. Sloane, R. K. Guy
2022-09-08T08:44:28
oeisdata/seq/A001/A001064.seq
68f5c95d509f2a2fd8ee2a46ca9a85e5
A001065
Sum of proper divisors (or aliquot parts) of n: sum of divisors of n that are less than n.
[ "0", "1", "1", "3", "1", "6", "1", "7", "4", "8", "1", "16", "1", "10", "9", "15", "1", "21", "1", "22", "11", "14", "1", "36", "6", "16", "13", "28", "1", "42", "1", "31", "15", "20", "13", "55", "1", "22", "17", "50", "1", "54", "1", "40", "33", "26", "1", "76", "8", "43", "21", "46", "1", "66", "17", "64", "23", "32", "1", "108", "1", "34", "41", "63", "19", "78", "1", "58", "27", "74", "1", "123", "1", "40", "49", "64", "19", "90", "1", "106" ]
[ "nonn", "core", "easy", "nice" ]
283
1
4
[ "A000005", "A000203", "A000396", "A000593", "A001065", "A005100", "A005101", "A005114", "A007434", "A007956", "A027750", "A027751", "A032741", "A033879", "A033880", "A034090", "A034091", "A037020", "A048050", "A048138", "A051731", "A051953", "A053246", "A053868", "A053869", "A070015", "A078923", "A122726", "A134675", "A141846", "A153485", "A176079", "A176891", "A231347", "A238895", "A238896", "A240698", "A259180", "A359132" ]
[ "M2226", "N0884" ]
N. J. A. Sloane, R. K. Guy
2025-02-16T08:32:22
oeisdata/seq/A001/A001065.seq
37dba5fa59257fa7a9b77b8980614f93
A001066
Dimensions (sorted, with duplicates removed) of real simple Lie algebras.
[ "3", "6", "8", "10", "14", "15", "16", "20", "21", "24", "28", "30", "35", "36", "42", "45", "48", "52", "55", "56", "63", "66", "70", "72", "78", "80", "90", "91", "96", "99", "104", "105", "110", "120", "126", "132", "133", "136", "143", "153", "156", "160", "168", "171", "182", "190", "195", "198", "210", "224", "231", "240", "248", "253", "255", "266", "272", "276", "286", "288", "300", "306" ]
[ "nonn", "nice", "easy" ]
17
1
1
[ "A000217", "A000384", "A001066", "A002378", "A003038", "A005563", "A014105" ]
null
Richard E. Borcherds (reb(AT)math.berkeley.edu)
2013-11-21T13:11:11
oeisdata/seq/A001/A001066.seq
cb69147ce5234a6165ebe96d30a57905
A001067
Numerator of Bernoulli(2*n)/(2*n).
[ "1", "-1", "1", "-1", "1", "-691", "1", "-3617", "43867", "-174611", "77683", "-236364091", "657931", "-3392780147", "1723168255201", "-7709321041217", "151628697551", "-26315271553053477373", "154210205991661", "-261082718496449122051", "1520097643918070802691", "-2530297234481911294093" ]
[ "sign", "frac", "nice" ]
134
1
6
[ "A000367", "A001067", "A006863", "A006953", "A033563", "A046968", "A090495", "A090496", "A141590", "A255505" ]
null
N. J. A. Sloane, Richard E. Borcherds (reb(AT)math.berkeley.edu)
2025-02-16T08:32:22
oeisdata/seq/A001/A001067.seq
4d92380455f5d680e2394674554721c1
A001068
a(n) = floor(5*n/4), numbers that are congruent to {0, 1, 2, 3} mod 5.
[ "0", "1", "2", "3", "5", "6", "7", "8", "10", "11", "12", "13", "15", "16", "17", "18", "20", "21", "22", "23", "25", "26", "27", "28", "30", "31", "32", "33", "35", "36", "37", "38", "40", "41", "42", "43", "45", "46", "47", "48", "50", "51", "52", "53", "55", "56", "57", "58", "60", "61", "62", "63", "65", "66", "67", "68", "70", "71", "72", "73", "75", "76", "77", "78", "80", "81", "82", "83", "85", "86", "87", "88" ]
[ "nonn", "easy" ]
81
0
3
[ "A001068", "A001622", "A002265", "A030308", "A047203", "A110255", "A110256", "A110257", "A110258", "A110259", "A110260", "A177704", "A249547" ]
null
N. J. A. Sloane
2023-12-03T09:41:35
oeisdata/seq/A001/A001068.seq
34ea3763f39641608b9a1d6ceceab2ac
A001069
Log2*(n) (version 2): take log_2 of n this many times to get a number < 2.
[ "0", "1", "1", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3" ]
[ "nonn", "easy" ]
40
1
4
[ "A001069", "A010096", "A230864" ]
null
N. J. A. Sloane and J. H. Conway
2024-07-28T18:51:24
oeisdata/seq/A001/A001069.seq
69ca1a20a5d9205c9c1804b96ff0f180
A001070
Number of normalized Latin squares with second row even.
[ "0", "0", "1", "2", "36", "4704", "8501760", "267533746176", "188809932117639168", "3790336726450693283512320" ]
[ "nonn", "hard", "more" ]
11
1
4
null
null
Eric Rogoyski
2013-05-11T10:12:08
oeisdata/seq/A001/A001070.seq
271c3e081a2f75f8dbc3a283856bef8c
A001071
Number of one-sided chessboard polyominoes with n cells.
[ "2", "1", "4", "10", "36", "108", "392", "1363", "5000", "18223", "67792", "252938", "952540", "3602478", "13699554", "52296713", "200406388", "770411478", "2970401696", "11482395526", "44491881090", "172766311857", "672186650116" ]
[ "hard", "nonn", "more" ]
31
1
1
[ "A001071", "A001933", "A121198" ]
[ "M0173", "N0067" ]
N. J. A. Sloane
2024-12-23T14:53:41
oeisdata/seq/A001/A001071.seq
e95dbfa5dcfc9ac76781e1e30de48e26
A001072
Number of minimally 2-edge-connected non-isomorphic graphs with n nodes.
[ "1", "1", "3", "4", "11", "23", "63", "159", "459", "1331", "4083", "12750" ]
[ "nonn", "hard", "more" ]
18
3
3
[ "A001072", "A324410" ]
null
Robert W. Robinson
2021-01-19T20:17:56
oeisdata/seq/A001/A001072.seq
7e5dbe67113632892c0fce1e0c5a482c
A001073
Label a 1-cm ruler with digits 1 cm wide.
[ "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "1", "0", "1", "2", "1", "4", "1", "6", "1", "8", "2", "0", "2", "2", "2", "4", "2", "6", "2", "8", "3", "0", "3", "2", "3", "4", "3", "6", "3", "8", "4", "0", "4", "2", "4", "4", "4", "6", "4", "8", "5", "0", "5", "2", "5", "4", "5", "6", "5", "8", "6", "0", "6", "2", "6", "4", "6", "6", "6", "8", "7", "0", "7", "2", "7", "4", "7", "6", "7", "8", "8", "0", "8", "2", "8", "4", "8", "6", "8", "8", "9", "0", "9", "2", "9", "4", "9", "6", "9", "8", "1", "0", "0", "1", "0", "3" ]
[ "nonn", "base", "nice" ]
31
0
3
[ "A001073", "A088235" ]
null
R. Lozyniak (11(AT)onna.com)
2022-07-26T10:09:07
oeisdata/seq/A001/A001073.seq
044c524e6843c6f7c95ac261801d5bf7
A001074
Numbers m such that Sum_{k=0..m-1} exp(2*Pi*i*k^3/m) != 0.
[ "1", "4", "7", "8", "9", "13", "19", "25", "27", "28", "31", "32", "36", "37", "43", "49", "52", "56", "61", "63", "64", "67", "72", "73", "76", "79", "91", "97", "100", "103", "104", "108", "109", "117", "121", "124", "125", "127", "133", "139", "148", "151", "152", "157", "163", "169", "171", "172", "175", "181", "189", "193", "196", "199", "200", "211", "216", "217" ]
[ "nice", "nonn", "easy" ]
13
1
2
null
null
R. Lozyniak (11(AT)onna.com)
2021-07-29T09:30:51
oeisdata/seq/A001/A001074.seq
9e4e22001fc3214add5caa28418124b5
A001075
a(0) = 1, a(1) = 2, a(n) = 4*a(n-1) - a(n-2).
[ "1", "2", "7", "26", "97", "362", "1351", "5042", "18817", "70226", "262087", "978122", "3650401", "13623482", "50843527", "189750626", "708158977", "2642885282", "9863382151", "36810643322", "137379191137", "512706121226", "1913445293767", "7141075053842", "26650854921601", "99462344632562", "371198523608647" ]
[ "nonn", "easy", "nice" ]
320
0
2
[ "A001075", "A001353", "A001571", "A001834", "A003500", "A011943", "A016064", "A026150", "A065918", "A071954", "A082840", "A094347", "A277434" ]
[ "M1769", "N0700" ]
N. J. A. Sloane
2025-01-05T19:51:31
oeisdata/seq/A001/A001075.seq
e47142333b97848c68d679f621079b77
A001076
Denominators of continued fraction convergents to sqrt(5).
[ "0", "1", "4", "17", "72", "305", "1292", "5473", "23184", "98209", "416020", "1762289", "7465176", "31622993", "133957148", "567451585", "2403763488", "10182505537", "43133785636", "182717648081", "774004377960", "3278735159921", "13888945017644", "58834515230497", "249227005939632", "1055742538989025" ]
[ "nonn", "easy", "cofr", "frac", "nice" ]
332
0
3
[ "A000045", "A001076", "A001077", "A007805", "A015448", "A028412", "A033887", "A049652", "A049660", "A059973", "A073133", "A172236", "A175183", "A352361" ]
[ "M3538", "N1434" ]
N. J. A. Sloane
2025-03-30T11:24:02
oeisdata/seq/A001/A001076.seq
7b7ba6d139af771083ded09246b0f09a
A001077
Numerators of continued fraction convergents to sqrt(5).
[ "1", "2", "9", "38", "161", "682", "2889", "12238", "51841", "219602", "930249", "3940598", "16692641", "70711162", "299537289", "1268860318", "5374978561", "22768774562", "96450076809", "408569081798", "1730726404001", "7331474697802", "31056625195209" ]
[ "nonn", "easy", "frac", "nice" ]
195
0
2
[ "A000032", "A001076", "A001077", "A023039", "A049629", "A374439" ]
[ "M1934", "N0764" ]
N. J. A. Sloane
2025-01-05T19:51:31
oeisdata/seq/A001/A001077.seq
044f354ca7d5853a3645470f289f6164
A001078
a(n) = 10*a(n-1) - a(n-2) with a(0) = 0, a(1) = 2.
[ "0", "2", "20", "198", "1960", "19402", "192060", "1901198", "18819920", "186298002", "1844160100", "18255302998", "180708869880", "1788833395802", "17707625088140", "175287417485598", "1735166549767840", "17176378080192802", "170028614252160180", "1683109764441408998" ]
[ "nonn", "easy", "nice" ]
97
0
2
[ "A000217", "A000326", "A000567", "A001078", "A001079", "A004189", "A053410", "A054320", "A138281", "A138288" ]
[ "M2122", "N0839" ]
N. J. A. Sloane
2024-05-16T15:44:40
oeisdata/seq/A001/A001078.seq
e9870a09d61d6331177ca864ec495579
A001079
a(n) = 10*a(n-1) - a(n-2); a(0) = 1, a(1) = 5.
[ "1", "5", "49", "485", "4801", "47525", "470449", "4656965", "46099201", "456335045", "4517251249", "44716177445", "442644523201", "4381729054565", "43374646022449", "429364731169925", "4250272665676801", "42073361925598085", "416483346590304049" ]
[ "nonn", "easy" ]
145
0
2
[ "A001078", "A001079", "A004189", "A036353", "A046172", "A046173", "A138281" ]
[ "M4005", "N1659" ]
N. J. A. Sloane
2024-05-22T01:23:37
oeisdata/seq/A001/A001079.seq
2866416b233f0b20d8b059fc6600ec81
A001080
a(n) = 16*a(n-1) - a(n-2) with a(0) = 0, a(1) = 3.
[ "0", "3", "48", "765", "12192", "194307", "3096720", "49353213", "786554688", "12535521795", "199781794032", "3183973182717", "50743789129440", "808716652888323", "12888722657083728", "205410845860451325", "3273684811110137472", "52173546131901748227", "831503053299317834160" ]
[ "nonn", "easy" ]
111
0
2
[ "A001080", "A001081", "A010727", "A048907", "A077412", "A084069" ]
[ "M3155", "N1278" ]
N. J. A. Sloane
2025-02-28T09:40:22
oeisdata/seq/A001/A001080.seq
48ce464d975b51618a1050f68a13d287
A001081
a(n) = 16*a(n-1) - a(n-2).
[ "1", "8", "127", "2024", "32257", "514088", "8193151", "130576328", "2081028097", "33165873224", "528572943487", "8424001222568", "134255446617601", "2139663144659048", "34100354867927167", "543466014742175624", "8661355881006882817" ]
[ "nonn", "easy" ]
111
0
2
[ "A001080", "A001081", "A010727", "A090727" ]
[ "M4573", "N1949" ]
N. J. A. Sloane
2025-02-28T09:40:11
oeisdata/seq/A001/A001081.seq
c1fff20b0a23d89ba8c9ca3330437a84
A001082
Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...
[ "0", "1", "5", "8", "16", "21", "33", "40", "56", "65", "85", "96", "120", "133", "161", "176", "208", "225", "261", "280", "320", "341", "385", "408", "456", "481", "533", "560", "616", "645", "705", "736", "800", "833", "901", "936", "1008", "1045", "1121", "1160", "1240", "1281", "1365", "1408", "1496", "1541", "1633", "1680", "1776", "1825", "1925", "1976" ]
[ "nonn", "easy" ]
203
1
3
[ "A000217", "A000567", "A001082", "A001318", "A005563", "A022998", "A045944", "A074377", "A085785", "A085787", "A089801", "A118277", "A195152", "A195160", "A195162", "A195313", "A195818", "A218864", "A245031", "A274978", "A274979", "A277082", "A303298", "A303299", "A303303", "A303304", "A303305", "A303812", "A303813", "A303814", "A303815", "A316724", "A316725", "A316729" ]
null
N. J. A. Sloane and Tom Duff
2025-02-16T08:32:22
oeisdata/seq/A001/A001082.seq
9cc36523192627dcec5b205449f980e0
A001083
Length of one version of Kolakoski sequence {A000002(i)} at n-th growth stage.
[ "1", "2", "2", "3", "5", "7", "10", "15", "23", "34", "50", "75", "113", "170", "255", "382", "574", "863", "1293", "1937", "2903", "4353", "6526", "9789", "14688", "22029", "33051", "49577", "74379", "111580", "167388", "251090", "376631", "564932", "847376", "1271059", "1906628", "2859984" ]
[ "nonn" ]
43
1
2
[ "A000002", "A001083", "A042942", "A054353" ]
null
N. J. A. Sloane, Simon Plouffe
2025-02-16T08:32:22
oeisdata/seq/A001/A001083.seq
d31efa0654f0f7fd762977c35423d2cd
A001084
a(n) = 20*a(n-1) - a(n-2) with a(0) = 0, a(1) = 3.
[ "0", "3", "60", "1197", "23880", "476403", "9504180", "189607197", "3782639760", "75463188003", "1505481120300", "30034159217997", "599177703239640", "11953519905574803", "238471220408256420", "4757470888259553597", "94910946544782815520", "1893461460007396756803", "37774318253603152320540" ]
[ "nonn", "easy" ]
73
0
2
[ "A001084", "A001085", "A075843", "A221762" ]
[ "M3167", "N1284" ]
N. J. A. Sloane
2024-08-16T18:54:39
oeisdata/seq/A001/A001084.seq
244b13b6d3dffb26d3d6de1a543860be
A001085
a(n) = 20*a(n-1) - a(n-2).
[ "1", "10", "199", "3970", "79201", "1580050", "31521799", "628855930", "12545596801", "250283080090", "4993116004999", "99612037019890", "1987247624392801", "39645340450836130", "790919561392329799", "15778745887395759850", "314783998186522867201", "6279901217843061584170" ]
[ "nonn", "easy" ]
95
0
2
[ "A001084", "A001085", "A090728" ]
[ "M4744", "N2030" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A001/A001085.seq
a9922e509a4ea247956e2507a932ef41
A001086
Continued fraction associated with y(y+1) = x(x^2 -1).
[ "0", "3", "4", "1", "1", "5", "2", "168", "46793", "1", "7", "1", "51", "1", "7", "1", "6", "2", "1", "1", "1", "10", "1", "2", "10", "1", "2", "11", "16", "3", "1", "1", "1", "1", "4", "1", "1", "3", "1", "1", "5", "5", "25", "1", "34", "10", "2", "18", "10", "585", "1", "2", "3", "1", "1", "440", "1", "1", "7", "2", "1", "4", "6", "16", "5", "2", "3", "2", "5", "1", "1", "77", "1" ]
[ "nonn", "cofr" ]
13
0
2
null
null
N. J. A. Sloane, R. K. Guy
2017-09-30T03:08:51
oeisdata/seq/A001/A001086.seq
14c5032d5bbc6d3316b516ba2eb68208
A001087
Related to S(n), the number of self-dual monotone Boolean functions of n variables (A001206): 2^n-th term is S(n).
[ "1", "2", "3", "4", "5", "7", "11", "12", "13", "18", "26", "31", "49", "62", "80", "81", "82", "101", "126", "167", "215", "295", "417", "436", "602", "887", "1371", "1454", "2332", "2479", "2645", "2646" ]
[ "nonn", "more" ]
17
1
2
null
null
M. Roller [ Martin.Roller(AT)mathematik.uni-regensburg.de ]
2013-07-25T12:47:17
oeisdata/seq/A001/A001087.seq
9862ba0e1c49cd8836a1adc2788913fa
A001088
Product of totient function: a(n) = Product_{k=1..n} phi(k) (cf. A000010).
[ "1", "1", "1", "2", "4", "16", "32", "192", "768", "4608", "18432", "184320", "737280", "8847360", "53084160", "424673280", "3397386240", "54358179840", "326149079040", "5870683422720", "46965467381760", "563585608581120", "5635856085811200", "123988833887846400", "991910671102771200", "19838213422055424000" ]
[ "nonn", "nice", "easy" ]
86
0
4
[ "A000010", "A001088", "A002088", "A003989", "A059381", "A059382", "A059383", "A059384", "A060238", "A060239" ]
null
Simon Plouffe
2025-02-16T08:32:22
oeisdata/seq/A001/A001088.seq
bbff6bbb27bd3d8c56b7879eeea6fcbf
A001089
Number of permutations of [n] containing exactly 2 increasing subsequences of length 3.
[ "0", "0", "0", "0", "3", "24", "133", "635", "2807", "11864", "48756", "196707", "783750", "3095708", "12152855", "47500635", "185082495", "719559600", "2793121080", "10830450780", "41965864794", "162539516448", "629399492330", "2437072038302", "9437097796918" ]
[ "nonn" ]
53
0
5
[ "A001089", "A003517", "A084249", "A138159", "A229158" ]
null
John Thomas Noonan [ noonan(AT)euclid.math.temple.edu ]
2025-02-13T13:07:56
oeisdata/seq/A001/A001089.seq
9e0187f21d60d2a8746d7b734d7c5a56
A001090
a(n) = 8*a(n-1) - a(n-2); a(0) = 0, a(1) = 1.
[ "0", "1", "8", "63", "496", "3905", "30744", "242047", "1905632", "15003009", "118118440", "929944511", "7321437648", "57641556673", "453811015736", "3572846569215", "28128961537984", "221458845734657", "1743541804339272", "13726875588979519", "108071462907496880", "850844827670995521", "6698687158460467288" ]
[ "nonn", "easy" ]
173
0
3
[ "A000027", "A001090", "A001091", "A001109", "A001353", "A001906", "A004187", "A004189", "A004191", "A004254", "A007655", "A029547", "A029548", "A049310", "A049660", "A070997", "A075843", "A077412", "A077421", "A077423", "A078987", "A097309", "A097311", "A097313", "A097316", "A136325", "A144128", "A323182" ]
[ "M4554", "N1936" ]
N. J. A. Sloane
2025-01-05T19:51:31
oeisdata/seq/A001/A001090.seq
68f064c622aa6b6c0900e196a44313be
A001091
a(n) = 8*a(n-1) - a(n-2); a(0) = 1, a(1) = 4.
[ "1", "4", "31", "244", "1921", "15124", "119071", "937444", "7380481", "58106404", "457470751", "3601659604", "28355806081", "223244789044", "1757602506271", "13837575261124", "108942999582721", "857706421400644", "6752708371622431", "53163960551578804" ]
[ "nonn", "easy" ]
103
0
2
[ "A001090", "A001091", "A090965", "A098269", "A322836" ]
[ "M3637", "N1479" ]
N. J. A. Sloane
2023-12-12T07:47:00
oeisdata/seq/A001/A001091.seq
4b2c704f3636816cc66b8ee701e396d8
A001092
Union of all numbers {p, q} where p and q are both primes or powers of primes and q = p+2.
[ "1", "2", "3", "4", "5", "7", "9", "11", "13", "17", "19", "23", "25", "27", "29", "31", "41", "43", "47", "49", "59", "61", "71", "73", "79", "81", "83", "101", "103", "107", "109", "125", "127", "137", "139", "149", "151", "167", "169", "179", "181", "191", "193", "197", "199", "227", "229", "239", "241", "243", "269", "271", "281", "283", "311", "313", "347", "349", "359" ]
[ "nonn", "easy" ]
16
1
2
[ "A001092", "A053702", "A074852" ]
null
N. J. A. Sloane
2018-05-08T15:11:53
oeisdata/seq/A001/A001092.seq
03b101ee1315bb6eb3b216dbae4a6775
A001093
a(n) = n^3 + 1.
[ "0", "1", "2", "9", "28", "65", "126", "217", "344", "513", "730", "1001", "1332", "1729", "2198", "2745", "3376", "4097", "4914", "5833", "6860", "8001", "9262", "10649", "12168", "13825", "15626", "17577", "19684", "21953", "24390", "27001", "29792", "32769", "35938", "39305", "42876", "46657", "50654", "54873", "59320" ]
[ "nonn", "easy" ]
60
-1
3
[ "A000578", "A001093", "A287326" ]
null
N. J. A. Sloane, Ray Wills (rwills(AT)vmprofs.estec.esa.nl)
2024-03-01T05:25:12
oeisdata/seq/A001/A001093.seq
c799706017724400085aad3c7e1ce748
A001094
a(n) = n + n*(n-1)*(n-2)*(n-3).
[ "0", "1", "2", "3", "28", "125", "366", "847", "1688", "3033", "5050", "7931", "11892", "17173", "24038", "32775", "43696", "57137", "73458", "93043", "116300", "143661", "175582", "212543", "255048", "303625", "358826", "421227", "491428", "570053", "657750", "755191", "863072", "982113", "1113058" ]
[ "nonn", "easy" ]
31
0
3
[ "A001094", "A001095", "A001096", "A052762" ]
null
N. J. A. Sloane, Ray Wills (rwills(AT)vmprofs.estec.esa.nl)
2022-10-21T21:09:26
oeisdata/seq/A001/A001094.seq
d9e015532fdc4de6b292837374743ad9
A001095
a(n) = n + n*(n-1)*(n-2)*(n-3)*(n-4).
[ "0", "1", "2", "3", "4", "125", "726", "2527", "6728", "15129", "30250", "55451", "95052", "154453", "240254", "360375", "524176", "742577", "1028178", "1395379", "1860500", "2441901", "3160102", "4037903", "5100504", "6375625", "7893626", "9687627", "11793628", "14250629", "17100750", "20389351" ]
[ "nonn", "easy" ]
36
0
3
[ "A001095", "A052787" ]
null
N. J. A. Sloane, Ray Wills (rwills(AT)vmprofs.estec.esa.nl)
2022-09-08T08:44:28
oeisdata/seq/A001/A001095.seq
f4bf64535a70725e6b01c453cad9819f
A001096
a(n) = n + n*(n-1)*(n-2)*(n-3)*(n-4)*(n-5).
[ "0", "1", "2", "3", "4", "5", "726", "5047", "20168", "60489", "151210", "332651", "665292", "1235533", "2162174", "3603615", "5765776", "8910737", "13366098", "19535059", "27907220", "39070101", "53721382", "72681863", "96909144", "127512025", "165765626", "213127227", "271252828", "342014429" ]
[ "nonn" ]
33
0
3
[ "A001094", "A001095", "A001096", "A053625" ]
null
N. J. A. Sloane, Ray Wills (rwills(AT)vmprofs.estec.esa.nl)
2023-06-24T21:52:34
oeisdata/seq/A001/A001096.seq
5b18cc0b83dd9394f255d5d6b0f18046
A001097
Twin primes.
[ "3", "5", "7", "11", "13", "17", "19", "29", "31", "41", "43", "59", "61", "71", "73", "101", "103", "107", "109", "137", "139", "149", "151", "179", "181", "191", "193", "197", "199", "227", "229", "239", "241", "269", "271", "281", "283", "311", "313", "347", "349", "419", "421", "431", "433", "461", "463", "521", "523", "569", "571", "599", "601", "617", "619", "641", "643" ]
[ "nonn", "core", "nice" ]
156
1
1
[ "A001097", "A001359", "A006512", "A070076", "A077800", "A164292" ]
null
N. J. A. Sloane, Mar 15 1996
2025-03-12T07:38:07
oeisdata/seq/A001/A001097.seq
a1389c8b16a98b38fc995875b2ba9162
A001098
Multiply previous term by 2 and write in binary.
[ "1", "10", "10100", "100111011101000", "101101100001100111010010100000100111001010010000" ]
[ "nonn", "base" ]
12
1
2
null
null
Steve Umbehocker [ umbe(AT)dilbert.cqs.washington.edu ]
2018-09-18T14:28:48
oeisdata/seq/A001/A001098.seq
8a5d4df5e96ea30572a701aeb7feebfb
A001099
a(n) = n^n - a(n-1), with a(1) = 1.
[ "1", "3", "24", "232", "2893", "43763", "779780", "15997436", "371423053", "9628576947", "275683093664", "8640417354592", "294234689237661", "10817772136320355", "427076118244539020", "18019667955465012596", "809220593930871751581", "38537187481365665823843", "1939882468178947923300136" ]
[ "nonn" ]
22
1
2
[ "A001099", "A001923" ]
null
Ed Smiley
2022-06-17T16:34:25
oeisdata/seq/A001/A001099.seq
504467daa6b2558ecabe5e2687894dbf
A001100
Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.
[ "1", "0", "2", "0", "4", "2", "2", "10", "10", "2", "14", "40", "48", "16", "2", "90", "230", "256", "120", "22", "2", "646", "1580", "1670", "888", "226", "28", "2", "5242", "12434", "12846", "7198", "2198", "366", "34", "2", "47622", "110320", "112820", "64968", "22120", "4448", "540", "40", "2", "479306", "1090270", "1108612", "650644", "236968", "54304", "7900", "748", "46", "2" ]
[ "tabl", "nonn" ]
29
1
3
[ "A001100", "A002464", "A010028", "A086852", "A086853", "A086854", "A086856", "A086955", "A322294", "A322295", "A322296" ]
null
N. J. A. Sloane, Aug 19 2003
2023-07-14T17:50:12
oeisdata/seq/A001/A001100.seq
50435805cf693cdfc4f717d8e8e1c952