Datasets:
christopher
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oeis

Dataset card Data Studio Files
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Community
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666,262,453B
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1999-12-11 03:00:00
2025-04-28 00:58:08
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32
32
A000501
a(n) = floor(cosh(n)).
[ "1", "1", "3", "10", "27", "74", "201", "548", "1490", "4051", "11013", "29937", "81377", "221206", "601302", "1634508", "4443055", "12077476", "32829984", "89241150", "242582597", "659407867", "1792456423", "4872401723", "13244561064", "36002449668", "97864804714", "266024120300", "723128532145", "1965667148572" ]
[ "nonn" ]
15
0
3
[ "A000471", "A000501" ]
null
N. J. A. Sloane
2022-02-01T01:00:02
oeisdata/seq/A000/A000501.seq
71284d81df973af80e7ba6ee8bd6438a
A000502
Number of genus 0 rooted maps with 6 faces and n vertices.
[ "42", "1586", "31388", "442610", "5030004", "49145460", "429166584", "3435601554", "25658464260", "181055975100", "1218601601672", "7880146275092", "49238911113224", "298652277299880", "1764885293279472", "10192638073849554", "57674223198273444", "320430129184331628", "1751190732477786600", "9428906326013866076" ]
[ "nonn" ]
31
5
1
[ "A000502", "A269920", "A270410" ]
[ "M5280", "N2298" ]
N. J. A. Sloane
2021-03-28T19:31:10
oeisdata/seq/A000/A000502.seq
b71698bd98a1e5013882f56b0855c632
A000503
a(n) = floor(tan(n)).
[ "0", "1", "-3", "-1", "1", "-4", "-1", "0", "-7", "-1", "0", "-226", "-1", "0", "7", "-1", "0", "3", "-2", "0", "2", "-2", "0", "1", "-3", "-1", "1", "-4", "-1", "0", "-7", "-1", "0", "-76", "-1", "0", "7", "-1", "0", "3", "-2", "0", "2", "-2", "0", "1", "-3", "-1", "1", "-4", "-1", "0", "-7", "-1", "0", "-46", "-1", "0", "8", "-1", "0", "3", "-2", "0", "2", "-2", "0", "1", "-3", "-1", "1", "-4", "-1", "0", "-6", "-1", "0", "-33", "-1", "0", "9", "-1", "0", "3", "-2", "0", "2", "-2", "0", "1", "-2", "-1", "1", "-3", "-1", "0", "-6", "-1", "0", "-26" ]
[ "sign", "easy", "nice" ]
102
0
3
[ "A000480", "A000484", "A000493", "A000494", "A000503", "A005657", "A037448", "A088306", "A195910", "A195911", "A258024" ]
null
N. J. A. Sloane
2022-08-14T17:01:54
oeisdata/seq/A000/A000503.seq
cbf1665bea0154b146dd031ab8ed8390
A000504
S2(j,2j+3) where S2(n,k) is a 2-associated Stirling number of the second kind.
[ "1", "56", "1918", "56980", "1636635", "47507460", "1422280860", "44346982680", "1446733012725", "49473074851200", "1774073543492250", "66681131440423500", "2624634287988087375", "108060337458000427500", "4647703259223579555000", "208548093035794902390000", "9749651260035434678555625" ]
[ "nonn" ]
33
1
2
[ "A000497", "A000504", "A008299" ]
[ "M5315", "N2309" ]
N. J. A. Sloane
2018-07-03T21:16:25
oeisdata/seq/A000/A000504.seq
4f566bae54ae05ea9a0549eb30d3d25e
A000505
Eulerian numbers (Euler's triangle: column k=5 of A008292, column k=4 of A173018).
[ "1", "57", "1191", "15619", "156190", "1310354", "9738114", "66318474", "423281535", "2571742175", "15041229521", "85383238549", "473353301060", "2575022097600", "13796160184500", "73008517581444", "382493246941965", "1987497491971605", "10258045633638475" ]
[ "nonn", "easy" ]
75
5
2
[ "A000012", "A000460", "A000498", "A000505", "A008292", "A123125", "A173018" ]
[ "M5317", "N2310" ]
N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v
2024-06-02T08:18:24
oeisdata/seq/A000/A000505.seq
e0caf8296a8c133e0122e23907734551
A000506
One half of the number of permutations of [n] such that the differences have 5 runs with the same signs.
[ "61", "841", "7311", "51663", "325446", "1910706", "10715506", "58258210", "309958755", "1623847695", "8412276585", "43220104041", "220683627988", "1121561317408", "5679711010548", "28683869195556", "144552802373145", "727271783033445" ]
[ "nonn", "easy" ]
24
6
1
[ "A000506", "A008970" ]
[ "M5322", "N2313" ]
N. J. A. Sloane
2022-01-05T00:31:13
oeisdata/seq/A000/A000506.seq
befd04d8e2ad2343c6f3ec5a924de3c8
A000507
Number of permutations of [n] with exactly 3 increasing runs of length at least 2.
[ "61", "1385", "19028", "206276", "1949762", "16889786", "137963364", "1081702420", "8236142455", "61386982075", "450403628440", "3266265481144", "23480284103492", "167687984079924", "1191656966048088", "8436830209386360", "59563995267159825", "419628657826253805" ]
[ "nonn", "easy" ]
32
6
1
[ "A000507", "A008971", "A160486" ]
[ "M5323", "N2314" ]
N. J. A. Sloane
2024-11-09T17:00:31
oeisdata/seq/A000/A000507.seq
70c0167a033acfe4b197bbcb9ef70911
A000508
Generalized class numbers c_(n,3).
[ "61", "2763", "38528", "249856", "1066590", "3487246", "9493504", "22634496", "48649086", "96448478", "179369856", "315621376", "530788622", "860061996", "1346126848", "2046820352", "3038120316", "4403100222", "6254596992", "8737505280", "11992903772" ]
[ "nonn", "easy" ]
47
1
1
[ "A000003", "A000233", "A000362", "A000508", "A235605" ]
[ "M5324", "N2315" ]
N. J. A. Sloane
2024-10-25T10:05:56
oeisdata/seq/A000/A000508.seq
f8c0f671f9369e3a359b05104076aa95
A000509
Size of second largest n-arc in PG(2,q), where q runs through the primes and prime powers >= 7.
[ "6", "6", "8", "10", "12", "13", "14", "14", "17", "21", "22", "24" ]
[ "nonn", "hard", "more", "nice" ]
22
1
1
[ "A000509", "A000510", "A000961" ]
null
J. W. P. Hirschfeld [ jwph(AT)sussex.ac.uk ]
2017-01-09T04:40:02
oeisdata/seq/A000/A000509.seq
2239088a16cbd807d5ee4eabf63a095b
A000510
Maximal number of points in PG(2,q) with at most 3 on a line (next term is 21 or 22).
[ "7", "9", "9", "11", "15", "15", "17" ]
[ "nonn", "hard", "more" ]
5
2
1
[ "A000509", "A000510" ]
null
J. W. P. Hirschfeld [ jwph(AT)sussex.ac.uk ]
2013-05-09T11:03:13
oeisdata/seq/A000/A000510.seq
63a1df5725df2eefb6712ebce5e46f6b
A000511
Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.
[ "1", "1", "2", "3", "5", "8", "11", "17", "25", "33", "47", "67", "87", "117", "160", "207", "270", "356", "455", "584", "751", "945", "1195", "1513", "1882", "2345", "2927", "3608", "4446", "5483", "6701", "8180", "9986", "12109", "14664", "17750", "21371", "25694", "30872", "36937", "44127", "52672", "62658", "74429", "88327", "104524", "123518", "145819", "171737", "201990", "237332", "278289", "325901", "381278", "445272", "519381", "605230", "704170", "818357", "950150", "1101634", "1275907", "1476384", "1706226", "1969869", "2272224", "2618007", "3013559", "3465917", "3982025", "4570898", "5242569", "6007170", "6877474", "7867709", "8992510", "10269905", "11719991", "13363733", "15226469", "17336450", "19723485", "22423058", "25474712", "28920541", "32810028", "37198284", "42144403", "47717124", "53992936", "61054313", "68996364", "77924848", "87954283", "99215750", "111854888" ]
[ "nonn", "walk" ]
15
0
3
null
null
Stephen Penrice (penrice(AT)dimacs.rutgers.edu)
2015-09-01T06:32:54
oeisdata/seq/A000/A000511.seq
dec7ca566bd5782c774707cb98ea381e
A000512
Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 3, where equivalence is defined by row and column permutations.
[ "0", "0", "1", "1", "2", "7", "16", "51", "224", "1165", "7454", "56349", "481309", "4548786", "46829325", "519812910", "6177695783", "78190425826", "1049510787100", "14886252250208", "222442888670708", "3492326723315796", "57468395960854710", "989052970923320185", "17767732298980160822", "332572885090541084172", "6475438355244504235759", "130954580036269713385884" ]
[ "nonn", "hard" ]
22
1
5
[ "A000186", "A000512", "A000513", "A000840", "A001501", "A008325", "A079815", "A133687", "A232215" ]
null
Eric Rogoyski
2020-04-04T11:04:33
oeisdata/seq/A000/A000512.seq
340b7162c1df1ecc920bac3109d4be17
A000513
Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 4, where equivalence is defined by row and column permutations. Also number of isomorphism classes of bicolored quartic bipartite graphs, where isomorphism cannot exchange the colors.
[ "0", "0", "0", "1", "1", "4", "16", "194", "3529", "121790", "5582612", "317579783", "21543414506", "1711281449485", "157117486414656", "16502328443493967", "1965612709107379155", "263512349078757245789", "39497131936385398782814", "6579940884199010139737829", "1211896874083479131415289345", "245593008009270037388205883048" ]
[ "nonn" ]
31
1
6
[ "A000512", "A000513", "A133687" ]
null
Eric Rogoyski
2020-04-02T11:45:37
oeisdata/seq/A000/A000513.seq
bd74ab69f08eda2ca7a3aeebd7a9c9af
A000514
Eulerian numbers (Euler's triangle: column k=6 of A008292, column k=5 of A173018).
[ "1", "120", "4293", "88234", "1310354", "15724248", "162512286", "1505621508", "12843262863", "102776998928", "782115518299", "5717291972382", "40457344748072", "278794377854832", "1879708669896492", "12446388300682056", "81180715002105741", "522859244868123336", "3332058336247871041" ]
[ "nonn", "easy" ]
75
6
2
[ "A000012", "A000460", "A000498", "A000505", "A000514", "A008292", "A123125", "A173018" ]
[ "M5379", "N2336" ]
N. J. A. Sloane, Mira Bernstein, and Robert G. Wilson v
2025-01-17T10:31:08
oeisdata/seq/A000/A000514.seq
cd768bf4fc9092b56b759cca4e1e4707
A000515
a(n) = (2n)!(2n+1)!/n!^4, or equally (2n+1)*binomial(2n,n)^2.
[ "1", "12", "180", "2800", "44100", "698544", "11099088", "176679360", "2815827300", "44914183600", "716830370256", "11445589052352", "182811491808400", "2920656969720000", "46670906271240000", "745904795339462400", "11922821963004219300", "190600129650794094000", "3047248986392325330000" ]
[ "nonn", "easy", "nice", "changed" ]
85
0
2
[ "A000108", "A000515", "A000894", "A002457", "A002894", "A005249", "A024492", "A039598", "A228329", "A228330", "A228331", "A228332", "A228333" ]
[ "M4874", "N2087" ]
N. J. A. Sloane
2025-04-15T08:58:45
oeisdata/seq/A000/A000515.seq
83b51f35777545e18a53ac91c8f9a62b
A000516
Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 5, where equivalence is defined by row and column permutations. Isomorphism classes of bicolored 5-regular bipartite graphs, where isomorphism cannot exchange the colors.
[ "0", "0", "0", "0", "1", "1", "4", "51", "3529", "601055", "156473848", "54062069505", "23869437984682", "13186966476208771", "8971034249976338907", "7414924597575224629299", "7360058177440420943520750", "8683626883245180573511018830", "12066478410398147578519948851818", "19585444567548740264243478805318202" ]
[ "nonn" ]
16
1
7
[ "A000512", "A000513", "A000516", "A133687" ]
null
Eric Rogoyski
2020-04-01T14:27:14
oeisdata/seq/A000/A000516.seq
64d3ff5c926c7fce5a3b58e7d51e39ff
A000517
Number of permutations of length n with exactly three valleys.
[ "272", "7936", "137216", "1841152", "21253376", "222398464", "2174832640", "20261765120", "182172651520", "1594922762240", "13684856848384", "115620218667008", "965271355195392", "7984436548730880", "65569731961159680", "535438370914959360", "4353038473793372160", "35266789418949672960" ]
[ "nonn" ]
37
7
1
[ "A000431", "A000487", "A000517", "A008303" ]
[ "M5431", "N2360" ]
N. J. A. Sloane
2023-06-24T21:37:47
oeisdata/seq/A000/A000517.seq
c2402721a256febfd5ced373de65a9f4
A000518
Generalized tangent numbers d_(n,4).
[ "272", "24611", "515086", "4456448", "23750912", "93241002", "296327464", "806453248", "1951153920", "4300685074", "8787223186", "16878338048", "30768878848", "53624926972", "89982082488", "146028888064", "230022888960", "353194774434", "529896144586" ]
[ "nonn" ]
33
1
1
[ "A000061", "A000176", "A000488", "A000518" ]
[ "M5432", "N2361" ]
N. J. A. Sloane
2018-05-07T22:22:46
oeisdata/seq/A000/A000518.seq
76cb014a4bbead1306bf9352b3f51d2e
A000519
Number of equivalence classes of nonzero regular 0-1 matrices of order n.
[ "1", "2", "3", "5", "7", "18", "43", "313", "7525", "846992", "324127859", "403254094631", "1555631972009429", "19731915624463099552", "791773335030637885025287", "107432353216118868234728540267", "47049030539260648478475949282317451", "71364337698829887974206671525372672234854" ]
[ "nonn" ]
25
1
2
[ "A000519", "A133687", "A333681" ]
null
Eric Rogoyski
2020-04-03T11:32:00
oeisdata/seq/A000/A000519.seq
c1ced86fc5cbf023a01bc527b0667bbd
A000520
Nearest integer to log_10(n).
[ "0", "0", "0", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2" ]
[ "nonn" ]
10
1
32
null
null
N. J. A. Sloane
2019-11-08T00:25:57
oeisdata/seq/A000/A000520.seq
8bc157d2aa8f1723d78acbbb64754005
A000521
Coefficients of modular function j as power series in q = e^(2 Pi i t). Another name is the elliptic modular invariant J(tau).
[ "1", "744", "196884", "21493760", "864299970", "20245856256", "333202640600", "4252023300096", "44656994071935", "401490886656000", "3176440229784420", "22567393309593600", "146211911499519294", "874313719685775360", "4872010111798142520", "25497827389410525184", "126142916465781843075" ]
[ "easy", "nonn", "nice", "core" ]
263
-1
2
[ "A000521", "A005798", "A007240", "A007245", "A014708", "A027652", "A066395", "A066396", "A078906", "A091406", "A106205", "A115977", "A161361", "A161362", "A161395", "A178451", "A290403", "A290404", "A339429" ]
[ "M5477", "N2372" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000521.seq
e494741bf3c02983e6cfa3ea38bc9cf9
A000522
Total number of ordered k-tuples (k=0..n) of distinct elements from an n-element set: a(n) = Sum_{k=0..n} n!/k!.
[ "1", "2", "5", "16", "65", "326", "1957", "13700", "109601", "986410", "9864101", "108505112", "1302061345", "16926797486", "236975164805", "3554627472076", "56874039553217", "966858672404690", "17403456103284421", "330665665962404000", "6613313319248080001", "138879579704209680022", "3055350753492612960485", "70273067330330098091156" ]
[ "nonn", "easy", "nice", "changed" ]
514
0
2
[ "A000166", "A000217", "A000522", "A001338", "A001339", "A001340", "A002104", "A002627", "A006231", "A008279", "A008290", "A010844", "A010845", "A014508", "A038155", "A038159", "A054091", "A058006", "A064383", "A064384", "A068424", "A072453", "A072456", "A073591", "A082030", "A094816", "A095000", "A095177", "A108625", "A121579", "A124779", "A142992", "A143007", "A144502", "A158359", "A158821", "A195254", "A222637", "A222639", "A370973" ]
[ "M1497", "N0589" ]
N. J. A. Sloane
2025-04-16T10:56:37
oeisdata/seq/A000/A000522.seq
f8cbefea6de8d812dd2467998bc7c5f6
A000523
a(n) = floor(log_2(n)).
[ "0", "1", "1", "2", "2", "2", "2", "3", "3", "3", "3", "3", "3", "3", "3", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6", "6" ]
[ "nonn", "easy", "nice", "look" ]
200
1
4
[ "A000193", "A000195", "A000523", "A001222", "A001620", "A003462", "A004233", "A029837", "A032924", "A061168", "A070939", "A081604", "A107680", "A113473", "A152487", "A240857" ]
null
N. J. A. Sloane
2024-07-19T20:58:20
oeisdata/seq/A000/A000523.seq
11f0b02b004060dfb1e40e15bb9cc2fd
A000524
Number of rooted trees with n nodes, 2 of which are labeled.
[ "2", "9", "34", "119", "401", "1316", "4247", "13532", "42712", "133816", "416770", "1291731", "3987444", "12266845", "37627230", "115125955", "351467506", "1070908135", "3257389088", "9892759091", "30002923380", "90879555521", "274963755791", "831064788976" ]
[ "nonn", "easy", "nice" ]
38
2
1
[ "A000524", "A008295" ]
[ "M1927", "N0761" ]
N. J. A. Sloane
2023-03-23T23:09:32
oeisdata/seq/A000/A000524.seq
189e7ceac94de4ec7565cad2df2d83c7
A000525
Number of partially labeled rooted trees with n nodes (4 of which are labeled).
[ "64", "625", "4016", "21256", "100407", "439646", "1823298", "7258228", "27983518", "105146732", "386812476", "1398023732", "4977320988", "17492710572", "60790051789", "209179971147", "713533304668", "2415061934763", "8117293752058", "27111950991825", "90039381031273" ]
[ "nonn" ]
41
4
1
[ "A000525", "A008295", "A042977" ]
[ "M5329", "N2317" ]
N. J. A. Sloane
2023-03-24T09:04:37
oeisdata/seq/A000/A000525.seq
2f7ef0b095e7b613efe3d82e5a87c731
A000526
Number of partially labeled trees with n nodes (5 of which are labeled).
[ "125", "1296", "8716", "47787", "232154", "1040014", "4395772", "17781210", "69498964", "264248924", "982218072", "3582421612", "12857819052", "45515994861", "159205157535", "551049504784", "1889714853263", "6427147635062", "21698583468717" ]
[ "nonn" ]
41
5
1
[ "A000526", "A034799" ]
[ "M5387", "N2340" ]
N. J. A. Sloane
2023-03-24T09:04:24
oeisdata/seq/A000/A000526.seq
6b19553e506636f2794525f2fb940f9a
A000527
Series-parallel numbers.
[ "52", "472", "3224", "18888", "101340", "511120", "2465904", "11496144", "52165892", "231557064", "1009247192", "4331502840", "18346242492", "76822836544", "318485778848", "1308750158016", "5335993098340", "21603437175288", "86912657626392", "347660876627944", "1383457374046444", "5479086968052912", "21604984733546336", "84850331177724944", "332001521469767940", "1294589169323791912", "5031934808360234760", "19500424806065865400", "75360646947991208396", "290478417300879735680", "1116919455364101145920", "4284817000807140094464", "16402243457215852326116", "62659647762404302956856", "238910441445219175239480" ]
[ "nonn" ]
19
4
1
null
[ "M5304", "N2306" ]
N. J. A. Sloane
2016-02-09T07:39:40
oeisdata/seq/A000/A000527.seq
f0eb29f3d199241365e10fbc42828d81
A000528
Number of types of Latin squares of order n. Equivalently, number of nonisomorphic 1-factorizations of K_{n,n}.
[ "1", "1", "1", "2", "2", "17", "324", "842227", "57810418543", "104452188344901572", "6108088657705958932053657" ]
[ "hard", "nonn", "nice", "more" ]
30
1
4
[ "A000315", "A000479", "A000528", "A002860", "A003090", "A040082" ]
null
N. J. A. Sloane
2022-03-12T21:40:50
oeisdata/seq/A000/A000528.seq
95dff13d16f026450e7efc7562093138
A000529
Powers of rooted tree enumerator.
[ "20", "74", "186", "388", "721", "1236", "1995", "3072", "4554", "6542", "9152", "12516", "16783", "22120", "28713", "36768", "46512", "58194", "72086", "88484", "107709", "130108", "156055", "185952", "220230", "259350", "303804", "354116", "410843", "474576", "545941", "625600", "714252", "812634", "921522", "1041732", "1174121", "1319588", "1479075", "1653568", "1844098", "2051742", "2277624", "2522916", "2788839", "3076664", "3387713", "3723360", "4085032", "4474210" ]
[ "nonn", "easy" ]
37
1
1
null
[ "M5086", "N2202" ]
N. J. A. Sloane
2022-04-13T13:25:15
oeisdata/seq/A000/A000529.seq
052dc230e4df9bc50f67300b19e104d3
A000530
Let p(n, s, x) be predicate that number of occurrences of s's in x >= 2*n - the length of the longest sequence of s's in x. Then a(n)=#{x in {0,1}* | x ends in 0 and p(n,0,x) and (there is no prefix y of x such that p(n,0,y) or p(n,1,y))}.
[ "1", "5", "28", "226", "2077", "20770", "222884", "2529541" ]
[ "nonn", "hard", "more" ]
10
1
2
null
null
Jonas Wallgren [ jwc(AT)ida.liu.se ]
2013-05-09T11:06:03
oeisdata/seq/A000/A000530.seq
6b0fdbab02c401efefdae8661a6aed78
A000531
From area of cyclic polygon of 2n + 1 sides.
[ "1", "7", "38", "187", "874", "3958", "17548", "76627", "330818", "1415650", "6015316", "25413342", "106853668", "447472972", "1867450648", "7770342787", "32248174258", "133530264682", "551793690628", "2276098026922", "9373521044908", "38546133661492" ]
[ "nonn", "easy", "nice" ]
98
1
2
[ "A000531", "A002457", "A135404", "A258431" ]
null
Simon Plouffe
2025-02-16T08:32:21
oeisdata/seq/A000/A000531.seq
1e911d9bed1d1396350d60b68ee99b24
A000532
Number of Hamiltonian paths from NW to SW corners in an n X n grid.
[ "1", "1", "2", "8", "86", "1770", "88418", "8934966", "2087813834", "1013346943033", "1111598871478668", "2568944901392936854", "13251059359839620127088", "145194816279817259193401518", "3524171261632305641165676374930", "182653259988707123426135593460533473" ]
[ "nonn", "walk" ]
65
1
3
[ "A000532", "A001184", "A003763", "A007764", "A014524", "A014585", "A120443", "A121785", "A121789", "A145157", "A181688", "A181689", "A271507", "A271592", "A350148" ]
null
Russ Cox, Mar 15 1996
2023-07-25T10:13:05
oeisdata/seq/A000/A000532.seq
24a35e76c7922afd804b8b4309f8e178
A000533
a(0)=1; a(n) = 10^n + 1, n >= 1.
[ "1", "11", "101", "1001", "10001", "100001", "1000001", "10000001", "100000001", "1000000001", "10000000001", "100000000001", "1000000000001", "10000000000001", "100000000000001", "1000000000000001", "10000000000000001" ]
[ "nonn", "easy" ]
144
0
2
[ "A000533", "A002283", "A066138", "A083318", "A138144", "A138145", "A152756", "A168624" ]
null
N. J. A. Sloane
2025-03-10T16:39:29
oeisdata/seq/A000/A000533.seq
cbb4b9bc8e1a3257efb046c30467b2bc
A000534
Numbers that are not the sum of 4 nonzero squares.
[ "0", "1", "2", "3", "5", "6", "8", "9", "11", "14", "17", "24", "29", "32", "41", "56", "96", "128", "224", "384", "512", "896", "1536", "2048", "3584", "6144", "8192", "14336", "24576", "32768", "57344", "98304", "131072", "229376", "393216", "524288", "917504", "1572864", "2097152", "3670016", "6291456", "8388608", "14680064" ]
[ "nonn", "easy", "nice" ]
63
1
3
[ "A000414", "A000534", "A123069" ]
null
N. J. A. Sloane and J. H. Conway
2024-10-19T15:57:32
oeisdata/seq/A000/A000534.seq
860083b55545690f2a01cd14c7bd37cd
A000535
Card matching: coefficients B[n,2] of t^2 in the reduced hit polynomial A[n,n,n](t).
[ "0", "27", "378", "4536", "48600", "489780", "4738104", "44535456", "409752432", "3708359550", "33125746500", "292779558720", "2565087894720", "22307854940280", "192788833482000", "1657111548654720", "14176605442521312", "120779466450505758", "1025230099571720676", "8674221270307971600" ]
[ "nonn" ]
30
1
2
[ "A000279", "A000489", "A000535", "A033581" ]
[ "M5194", "N2258" ]
N. J. A. Sloane
2022-02-03T02:30:45
oeisdata/seq/A000/A000535.seq
b7467deb0f118cb319f20c3e4d431af1
A000536
Number of 3-line Latin rectangles.
[ "24", "240", "2520", "26880", "304080", "3671136", "47391120", "653463360", "9603708840", "150046937040", "2485510331304", "43536519673920", "804343214307360", "15636586027419840", "319143375070100640", "6824486562845878656", "152599994618389811640", "3561710724832153990320", "86627571138529803385080", "2192153071078356814538880", "57633178354598014299807984", "1572073330365520093029415200", "44434609885866805678475703600", "1299879247128621094998213278400", "39312834919322919649653205283400", "1227895179113516869799082638629776", "39569125440836907870479047149487560", "1314368274045259508166257769617810880", "44963797526832537006635800892057862720", "1582832153412276057834241761650127323520" ]
[ "nonn" ]
26
4
1
null
[ "M5152", "N2236" ]
N. J. A. Sloane
2016-02-09T08:36:44
oeisdata/seq/A000/A000536.seq
d2fc18044ddbd34566b7acf4205d228c
A000537
Sum of first n cubes; or n-th triangular number squared.
[ "0", "1", "9", "36", "100", "225", "441", "784", "1296", "2025", "3025", "4356", "6084", "8281", "11025", "14400", "18496", "23409", "29241", "36100", "44100", "53361", "64009", "76176", "90000", "105625", "123201", "142884", "164836", "189225", "216225", "246016", "278784", "314721", "354025", "396900", "443556", "494209", "549081" ]
[ "nonn", "easy", "nice" ]
369
0
3
[ "A000217", "A000290", "A000292", "A000330", "A000332", "A000537", "A000538", "A000566", "A000578", "A002415", "A006003", "A008458", "A008459", "A024166", "A035287", "A039623", "A053382", "A053383", "A059376", "A059827", "A059860", "A085582", "A094414", "A094415", "A101094", "A101097", "A101102", "A103438", "A127777", "A176271", "A236770", "A253169", "A256188" ]
[ "M4619", "N1972" ]
N. J. A. Sloane
2025-03-12T17:45:23
oeisdata/seq/A000/A000537.seq
1fa8266eb4238e7b0b2088a3f98e7c06
A000538
Sum of fourth powers: 0^4 + 1^4 + ... + n^4.
[ "0", "1", "17", "98", "354", "979", "2275", "4676", "8772", "15333", "25333", "39974", "60710", "89271", "127687", "178312", "243848", "327369", "432345", "562666", "722666", "917147", "1151403", "1431244", "1763020", "2153645", "2610621", "3142062", "3756718", "4463999", "5273999", "6197520", "7246096", "8432017", "9768353" ]
[ "nonn", "easy", "nice" ]
159
0
3
[ "A000217", "A000330", "A000537", "A000538", "A000539", "A000540", "A000541", "A000542", "A000583", "A007487", "A023002", "A064538", "A101089", "A103438", "A254640" ]
[ "M5043", "N2179" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000538.seq
d5ae312b406a4c12f01a24bd26481d93
A000539
Sum of 5th powers: 0^5 + 1^5 + 2^5 + ... + n^5.
[ "0", "1", "33", "276", "1300", "4425", "12201", "29008", "61776", "120825", "220825", "381876", "630708", "1002001", "1539825", "2299200", "3347776", "4767633", "6657201", "9133300", "12333300", "16417401", "21571033", "28007376", "35970000", "45735625", "57617001", "71965908", "89176276", "109687425", "133987425", "162616576" ]
[ "nonn", "easy" ]
151
0
3
[ "A000217", "A000537", "A000538", "A000539", "A000584", "A006542", "A008292", "A059378", "A101092", "A103438" ]
[ "M5241", "N2280" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000539.seq
0ff46d7bba688224f4f6f63076a61f08
A000540
Sum of 6th powers: 0^6 + 1^6 + 2^6 + ... + n^6.
[ "0", "1", "65", "794", "4890", "20515", "67171", "184820", "446964", "978405", "1978405", "3749966", "6735950", "11562759", "19092295", "30482920", "47260136", "71397705", "105409929", "152455810", "216455810", "302221931", "415601835", "563637724", "754740700", "998881325", "1307797101", "1695217590" ]
[ "nonn", "easy" ]
135
0
3
[ "A000539", "A000540", "A001014", "A101093", "A103438" ]
[ "M5335", "N2322" ]
N. J. A. Sloane
2025-01-06T11:58:26
oeisdata/seq/A000/A000540.seq
cc6dc125c3765779ca81f8720a3d3a6f
A000541
Sum of 7th powers: 1^7 + 2^7 + ... + n^7.
[ "0", "1", "129", "2316", "18700", "96825", "376761", "1200304", "3297456", "8080425", "18080425", "37567596", "73399404", "136147921", "241561425", "412420800", "680856256", "1091194929", "1703414961", "2597286700", "3877286700", "5678375241", "8172733129", "11577558576", "16164030000", "22267545625" ]
[ "nonn", "easy" ]
99
0
3
[ "A000217", "A000537", "A000539", "A000541", "A103438" ]
[ "M5394", "N2343" ]
N. J. A. Sloane
2025-01-06T12:01:56
oeisdata/seq/A000/A000541.seq
6aa78eac53e70b6d6435eeed4f3ff5a1
A000542
Sum of 8th powers: 1^8 + 2^8 + ... + n^8.
[ "0", "1", "257", "6818", "72354", "462979", "2142595", "7907396", "24684612", "67731333", "167731333", "382090214", "812071910", "1627802631", "3103591687", "5666482312", "9961449608", "16937207049", "27957167625", "44940730666", "70540730666", "108363590027", "163239463563", "241550448844" ]
[ "nonn", "easy" ]
72
0
3
[ "A000542", "A103438" ]
[ "M5427", "N2358" ]
N. J. A. Sloane
2025-01-06T12:04:22
oeisdata/seq/A000/A000542.seq
cd6ad448b33d08e3960e85e78758827a
A000543
Number of inequivalent ways to color vertices of a cube using at most n colors.
[ "0", "1", "23", "333", "2916", "16725", "70911", "241913", "701968", "1798281", "4173775", "8942021", "17930628", "34009053", "61518471", "106823025", "179003456", "290715793", "459239463", "707740861", "1066780100", "1576090341", "2286660783", "3263156073", "4586706576" ]
[ "nonn", "easy" ]
44
0
3
[ "A000543", "A000545", "A006008", "A047780", "A054472", "A060530", "A128766", "A325012", "A337891", "A337896", "A337897" ]
null
Clint. C. Williams (Clintwill(AT)aol.com)
2025-02-16T08:32:21
oeisdata/seq/A000/A000543.seq
68debd9605f921a71a2c66e3dd80b6dc
A000544
Number of permutations of length n by rises.
[ "3", "25", "155", "1005", "7488", "64164", "619986", "6646750", "78161249", "999473835", "13801761213", "204631472475", "3241541125110", "54629642149630", "975867376041308", "18416844056075364", "366128842105397631", "7647337600268371485", "167424323805645018159", "3833790834030516355705", "91641405910147125954428", "2282611988081527293910920" ]
[ "nonn" ]
23
4
1
[ "A000544", "A010030" ]
[ "M3110", "N1260" ]
N. J. A. Sloane
2022-02-04T02:01:40
oeisdata/seq/A000/A000544.seq
818d95e58404a8fea1a1d159583eaa29
A000545
Number of ways of n-coloring a dodecahedron.
[ "1", "96", "9099", "280832", "4073375", "36292320", "230719293", "1145393152", "4707296613", "16666924000", "52307593239", "148602435840", "388302646355", "944900450144", "2162441849625", "4691253854208", "9710376716137", "19280531603808", "36888593841475", "68266682784000", "122597146773927" ]
[ "nonn", "easy" ]
47
1
2
[ "A000543", "A000545", "A006008", "A047780", "A054472", "A252705", "A282670", "A337961", "A337962" ]
null
Clint. C. Williams (Clintwill(AT)aol.com)
2025-02-16T08:32:21
oeisdata/seq/A000/A000545.seq
9789a5703a5f1cd63a4c7a5fe3893c15
A000546
First occurrence of n consecutive numbers that take same number of steps to reach 1 in 3x+1 problem.
[ "1", "12", "28", "314", "98", "386", "943", "1494", "1680", "4722", "6576", "11696", "3982", "2987", "17548", "36208", "7083", "59692", "159116", "79592", "57857", "212160", "352258", "221185", "57346", "294913", "252548", "530052", "331778", "524289", "1088129", "913319", "2065786", "1541308", "1032875", "1264924", "8151894" ]
[ "nonn" ]
14
1
2
[ "A000546", "A000547" ]
null
Peter L. Stone [ PetStone(AT)aol.com ]
2012-06-20T14:20:41
oeisdata/seq/A000/A000546.seq
7af92715fa8206be0ac23d4334c12554
A000547
Number of steps to reach 1 in sequence A000546.
[ "0", "9", "18", "37", "25", "120", "36", "47", "42", "59", "137", "143", "51", "48", "141", "41", "57", "73", "77", "76", "166", "80", "104", "93", "78", "96", "181", "102", "91", "102", "209", "201", "197", "194", "196", "129", "230", "115", "200", "97", "213", "206", "115", "216", "220", "214", "208", "246", "211", "233", "199", "208", "209", "224", "207", "228" ]
[ "nonn" ]
7
1
2
[ "A000546", "A000547" ]
null
Peter L. Stone [ PetStone(AT)aol.com ]
2012-06-20T14:22:23
oeisdata/seq/A000/A000547.seq
b997320dd67a4917da96104359a6b4c6
A000548
Squares that are not the sum of 2 nonzero squares.
[ "1", "4", "9", "16", "36", "49", "64", "81", "121", "144", "196", "256", "324", "361", "441", "484", "529", "576", "729", "784", "961", "1024", "1089", "1296", "1444", "1764", "1849", "1936", "2116", "2209", "2304", "2401", "2916", "3136", "3249", "3481", "3844", "3969", "4096", "4356", "4489" ]
[ "nonn" ]
25
1
2
null
null
N. J. A. Sloane and J. H. Conway
2018-06-20T01:34:15
oeisdata/seq/A000/A000548.seq
7d6d1adf8568d6ae775b3d56831fb214
A000549
Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.
[ "1", "2", "4", "5", "8", "10", "13", "16", "20", "25", "32", "37", "40", "52", "58", "64", "80", "85", "100", "128", "130", "148", "160", "208", "232", "256", "320", "340", "400", "512", "520", "592", "640", "832", "928", "1024", "1280", "1360", "1600", "2048", "2080", "2368", "2560", "3328", "3712", "4096", "5120", "5440", "6400", "8192", "8320", "9472", "10240" ]
[ "nonn" ]
56
1
2
null
null
N. J. A. Sloane and J. H. Conway
2023-10-27T18:23:26
oeisdata/seq/A000/A000549.seq
5d94a45f00d34aebb150995a712ba663
A000550
Number of trees of diameter 7.
[ "1", "3", "14", "42", "128", "334", "850", "2010", "4625", "10201", "21990", "46108", "94912", "191562", "380933", "746338", "1444676", "2763931", "5235309", "9822686", "18275648", "33734658", "61826344", "112550305", "203627610", "366267931", "655261559", "1166312530", "2066048261", "3643352362", "6397485909", "11188129665", "19491131627", "33831897511", "58519577756", "100885389220", "173368983090", "297021470421", "507378371670", "864277569606", "1468245046383", "2487774321958", "4204663810414", "7089200255686", "11924621337321", "20012746962064", "33513139512868", "56001473574091", "93387290773141", "155419866337746" ]
[ "nonn" ]
34
8
2
[ "A000306", "A000550", "A034853" ]
[ "M2969", "N1201" ]
N. J. A. Sloane
2017-04-03T03:36:54
oeisdata/seq/A000/A000550.seq
a3bafa16ddc979dc4d6c7f439073abd0
A000551
Number of labeled rooted trees of height 2 with n nodes.
[ "6", "36", "200", "1170", "7392", "50568", "372528", "2936070", "24617120", "218521116", "2045278248", "20112821274", "207162957120", "2228888801040", "24989309310944", "291322555295886", "3524580202643136", "44176839081266340", "572725044269255640" ]
[ "nonn", "nice", "easy" ]
41
3
1
null
[ "M4220", "N1764" ]
N. J. A. Sloane
2017-04-17T14:46:36
oeisdata/seq/A000/A000551.seq
d7010e9c23c091436a185b240528d9b0
A000552
Number of labeled rooted trees of height 3 with n nodes.
[ "24", "300", "3360", "38850", "475776", "6231960", "87530400", "1316954430", "21173760960", "362670636900", "6596214691248", "126980000240730", "2579214238608000", "55118036257959600", "1235935135837111104", "29009023670878484598" ]
[ "nonn", "easy", "nice" ]
29
4
1
null
[ "M5159", "N2241" ]
N. J. A. Sloane
2017-04-03T04:23:25
oeisdata/seq/A000/A000552.seq
d6a7c0d86d4015c3e050bf586b2d3c7f
A000553
Number of labeled rooted trees of height 4 with n nodes.
[ "120", "2520", "43680", "757680", "13747104", "264181680", "5395040640", "117080049240", "2696387899920", "65774992411128", "1695845836077120", "46110625382246880", "1319345179723609920", "39640903618873667040", "1248193457738661143808" ]
[ "nonn" ]
31
5
1
null
[ "M5378", "N2335" ]
N. J. A. Sloane
2021-12-19T09:37:24
oeisdata/seq/A000/A000553.seq
589945ea4f7def9acd9184d442f06524
A000554
Number of labeled trees of diameter 3 with n nodes.
[ "12", "60", "210", "630", "1736", "4536", "11430", "28050", "67452", "159588", "372554", "859950", "1965840", "4456176", "10026702", "22412970", "49806980", "110100060", "242220594", "530578950", "1157627352", "2516581800", "5452594550", "11777604930", "25367149836", "54492396756", "116769422490", "249644973150" ]
[ "nonn", "easy" ]
41
4
1
null
[ "M4843", "N2070" ]
N. J. A. Sloane
2017-03-24T00:47:48
oeisdata/seq/A000/A000554.seq
fbea8c70b7c883d6dd7288b03f4d1e60
A000555
Number of labeled trees of diameter 4 with n nodes.
[ "60", "720", "6090", "47040", "363384", "2913120", "24560910", "218386080", "2044958916", "20112075984", "207161237010", "2228884869120", "24989300398320", "291322535242176", "3524580157816854", "44176838981652000", "572725044049055100", "7668896804089696560", "105920137922879314650", "1507138839384235136640", "22068265782102952223400", "332178010291171425732000", "5135009134117954527323550", "81449458937043220255508640" ]
[ "nonn" ]
27
5
1
null
[ "M5319", "N2312" ]
N. J. A. Sloane
2016-02-10T03:44:12
oeisdata/seq/A000/A000555.seq
2449390631bb8ee1073d23ed13d282f6
A000556
Expansion of exp(-x) / (1 - exp(x) + exp(-x)).
[ "1", "1", "5", "31", "257", "2671", "33305", "484471", "8054177", "150635551", "3130337705", "71556251911", "1784401334897", "48205833997231", "1402462784186105", "43716593539939351", "1453550100421124417", "51350258701767067711", "1920785418183176050505", "75839622064482770570791" ]
[ "nonn", "easy" ]
90
0
3
[ "A000556", "A005923", "A216794" ]
[ "M3966", "N1638" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000556.seq
103da456349ae13a3bfb23c2385c38ef
A000557
Expansion of e.g.f.: 1/(1-2*sinh(x)).
[ "1", "2", "8", "50", "416", "4322", "53888", "783890", "13031936", "243733442", "5064992768", "115780447730", "2887222009856", "77998677862562", "2269232452763648", "70734934220015570", "2351893466832306176", "83086463910558199682", "3107896091715557654528", "122711086194279627711410" ]
[ "nonn", "easy" ]
95
0
2
[ "A000045", "A000556", "A000557", "A005923", "A320352", "A358031", "A358032" ]
[ "M1881", "N0743" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000557.seq
7321223de76534851dc34bbf9f16c5ee
A000558
Generalized Stirling numbers of second kind.
[ "1", "6", "32", "175", "1012", "6230", "40819", "283944", "2090424", "16235417", "132609666", "1135846062", "10175352709", "95108406130", "925496853980", "9357279554071", "98118527430960", "1065259283215810", "11956366813630835", "138539436100687988", "1655071323662574756", "20361556640795422729" ]
[ "nonn", "easy", "changed" ]
58
2
2
[ "A000110", "A000558", "A000559", "A001861", "A046817", "A130191" ]
[ "M4213", "N1758" ]
N. J. A. Sloane
2025-04-19T10:03:53
oeisdata/seq/A000/A000558.seq
728096c4d8b46fe13ccd27bd1542a160
A000559
Generalized Stirling numbers of second kind.
[ "1", "12", "110", "945", "8092", "70756", "638423", "5971350", "57996774", "585092607", "6128147610", "66579524648", "749542556193", "8733648533696", "105203108066962", "1308549777461505", "16787682400875456", "221901108871482760", "3018891886411332135", "42230736603244134242" ]
[ "nonn", "easy", "changed" ]
40
3
2
[ "A000558", "A000559", "A046817", "A130191" ]
[ "M4858", "N2076" ]
N. J. A. Sloane
2025-04-19T10:03:57
oeisdata/seq/A000/A000559.seq
913e15895e87d3eb9611ac137f14d438
A000560
Number of ways of folding a strip of n labeled stamps.
[ "1", "2", "5", "12", "33", "87", "252", "703", "2105", "6099", "18689", "55639", "173423", "526937", "1664094", "5137233", "16393315", "51255709", "164951529", "521138861", "1688959630", "5382512216", "17547919924", "56335234064", "184596351277", "596362337295", "1962723402375" ]
[ "nonn", "nice" ]
80
2
2
[ "A000136", "A000560", "A000682", "A001011" ]
[ "M1420", "N0557" ]
N. J. A. Sloane, Stéphane Legendre
2019-09-06T11:08:01
oeisdata/seq/A000/A000560.seq
8b420a1c1f49fe9066f58815a324b36b
A000561
Number of discordant permutations.
[ "6", "44", "145", "336", "644", "1096", "1719", "2540", "3586", "4884", "6461", "8344", "10560", "13136", "16099", "19476", "23294", "27580", "32361", "37664", "43516", "49944", "56975", "64636", "72954", "81956", "91669", "102120", "113336", "125344", "138171", "151844", "166390", "181836", "198209", "215536", "233844", "253160", "273511", "294924", "317426", "341044" ]
[ "nonn", "easy" ]
47
3
1
null
[ "M4245", "N1773" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A000/A000561.seq
332261b1cb93c61d260bf9170337996c
A000562
Number of discordant permutations.
[ "9", "95", "420", "1225", "2834", "5652", "10165", "16940", "26625", "39949", "57722", "80835", "110260", "147050", "192339", "247342", "313355", "391755", "484000", "591629", "716262", "859600", "1023425", "1209600", "1420069", "1656857", "1922070", "2217895", "2546600", "2910534", "3312127", "3753890", "4238415", "4768375", "5346524", "5975697" ]
[ "nonn", "easy" ]
38
4
1
null
[ "M4657", "N1994" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A000/A000562.seq
11b763a8227428487d1e5f1f360c97a4
A000563
Number of discordant permutations.
[ "13", "192", "1085", "3880", "10656", "24626", "50380", "94128", "163943", "270004", "424839", "643568", "944146", "1347606", "1878302", "2564152", "3436881", "4532264", "5890369", "7555800", "9577940", "12011194", "14915232", "18355232", "22402123", "27132828", "32630507", "38984800", "46292070" ]
[ "nonn", "easy" ]
38
5
1
null
[ "M4916", "N2109" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A000/A000563.seq
ed1ec742d321b19198e132013443313c
A000564
Number of discordant permutations.
[ "20", "371", "2588", "11097", "35645", "94457", "218124", "454220", "872648", "1571715", "2684936", "4388567", "6909867", "10536089", "15624200", "22611330", "32025950", "44499779", "60780420", "81744725", "108412889", "141963273", "183747956", "235309016", "298395540" ]
[ "nonn", "easy" ]
38
6
1
null
[ "M5099", "N2208" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A000/A000564.seq
42749e14f08ca1ca63c73e5e9ac64157
A000565
Number of discordant permutations.
[ "31", "696", "5823", "29380", "108933", "327840", "848380", "1958004", "4130895", "8107024", "14990889", "26372124", "44470165", "72305160", "113897310", "174496828", "260846703", "381480456", "547057075", "770735316", "1068589557", "1460069392", "1968505152", "2621661540" ]
[ "nonn", "easy" ]
38
7
1
null
[ "M5227", "N2275" ]
N. J. A. Sloane
2022-09-08T08:44:28
oeisdata/seq/A000/A000565.seq
7b46020d95867e83b6ac991419463e6c
A000566
Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.
[ "0", "1", "7", "18", "34", "55", "81", "112", "148", "189", "235", "286", "342", "403", "469", "540", "616", "697", "783", "874", "970", "1071", "1177", "1288", "1404", "1525", "1651", "1782", "1918", "2059", "2205", "2356", "2512", "2673", "2839", "3010", "3186", "3367", "3553", "3744", "3940", "4141", "4347", "4558", "4774", "4995", "5221", "5452", "5688" ]
[ "nonn", "easy", "nice" ]
229
0
3
[ "A000384", "A000566", "A006564", "A014637", "A014640", "A014773", "A014792", "A069099", "A093562", "A131413", "A131896", "A134483", "A147875", "A244639", "A254963" ]
[ "M4358", "N1826" ]
N. J. A. Sloane
2025-03-07T14:08:20
oeisdata/seq/A000/A000566.seq
04c366bc4231add68b830f40480cf102
A000567
Octagonal numbers: n*(3*n-2). Also called star numbers.
[ "0", "1", "8", "21", "40", "65", "96", "133", "176", "225", "280", "341", "408", "481", "560", "645", "736", "833", "936", "1045", "1160", "1281", "1408", "1541", "1680", "1825", "1976", "2133", "2296", "2465", "2640", "2821", "3008", "3201", "3400", "3605", "3816", "4033", "4256", "4485", "4720", "4961", "5208", "5461" ]
[ "nonn", "easy", "nice" ]
340
0
3
[ "A000217", "A000290", "A000384", "A000567", "A001835", "A002378", "A003154", "A005408", "A014641", "A014642", "A014793", "A014794", "A016777", "A016921", "A045944", "A046092", "A093563" ]
[ "M4493", "N1901" ]
N. J. A. Sloane
2025-03-07T14:08:25
oeisdata/seq/A000/A000567.seq
e367461618b82bc4a48a3437002228f1
A000568
Number of outcomes of unlabeled n-team round-robin tournaments.
[ "1", "1", "1", "2", "4", "12", "56", "456", "6880", "191536", "9733056", "903753248", "154108311168", "48542114686912", "28401423719122304", "31021002160355166848", "63530415842308265100288", "244912778438520759443245824", "1783398846284777975419600287232", "24605641171260376770598003978281472" ]
[ "nonn", "nice", "easy" ]
117
0
4
[ "A000568", "A006125", "A051337", "A334335" ]
[ "M1262", "N0484" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000568.seq
f7e3a51c3a365b634fba7fba7b5e548a
A000569
Number of graphical partitions of 2n.
[ "1", "2", "5", "9", "17", "31", "54", "90", "151", "244", "387", "607", "933", "1420", "2136", "3173", "4657", "6799", "9803", "14048", "19956", "28179", "39467", "54996", "76104", "104802", "143481", "195485", "264941", "357635", "480408", "642723", "856398", "1136715", "1503172", "1980785" ]
[ "nonn", "nice", "changed" ]
81
1
2
[ "A000070", "A000219", "A000569", "A004250", "A004251", "A007717", "A025065", "A029889", "A095268", "A096373", "A147878", "A209816", "A320911", "A320921", "A320922" ]
null
N. J. A. Sloane
2025-04-16T03:03:44
oeisdata/seq/A000/A000569.seq
eab3023e0e00ed25c376c8403819c6a5
A000570
Number of tournaments on n nodes determined by their score vectors.
[ "1", "1", "2", "4", "7", "11", "18", "31", "53", "89", "149", "251", "424", "715", "1204", "2028", "3418", "5761", "9708", "16358", "27565", "46452", "78279", "131910", "222285", "374581", "631222", "1063696", "1792472", "3020560", "5090059", "8577449", "14454177", "24357268", "41045336", "69167021", "116555915" ]
[ "nonn", "nice", "easy" ]
38
1
3
null
null
Prasad Tetali [ tetali(AT)math.gatech.edu ]
2020-03-25T11:14:17
oeisdata/seq/A000/A000570.seq
3d3673ca560e4138f5db1d6a0ee5fecc
A000571
Number of different score sequences that are possible in an n-team round-robin tournament.
[ "1", "1", "1", "2", "4", "9", "22", "59", "167", "490", "1486", "4639", "14805", "48107", "158808", "531469", "1799659", "6157068", "21258104", "73996100", "259451116", "915695102", "3251073303", "11605141649", "41631194766", "150021775417", "542875459724", "1972050156181", "7189259574618", "26295934251565", "96478910768821", "354998461378719", "1309755903513481" ]
[ "nonn", "nice", "changed" ]
149
0
4
[ "A000571", "A007747", "A145855", "A210726", "A274098" ]
[ "M1189", "N0459" ]
N. J. A. Sloane
2025-04-19T06:54:57
oeisdata/seq/A000/A000571.seq
f721493688896b59dea7b34a844501f3
A000572
A Beatty sequence: [ n(e+1) ].
[ "3", "7", "11", "14", "18", "22", "26", "29", "33", "37", "40", "44", "48", "52", "55", "59", "63", "66", "70", "74", "78", "81", "85", "89", "92", "96", "100", "104", "107", "111", "115", "118", "122", "126", "130", "133", "137", "141", "145", "148", "152", "156", "159", "163", "167", "171", "174", "178", "182", "185", "189", "193", "197", "200", "204", "208", "211", "215", "219" ]
[ "nonn" ]
24
1
1
[ "A000572", "A006594" ]
[ "M2621", "N1037" ]
N. J. A. Sloane
2022-02-01T01:03:19
oeisdata/seq/A000/A000572.seq
801f411ada045c62a845facf00d8c686
A000573
Number of 4 X n normalized Latin rectangles.
[ "4", "56", "6552", "1293216", "420909504", "207624560256", "147174521059584", "143968880078466048", "188237563987982390784", "320510030393570671051776", "695457005987768649183581184", "1888143905499961681708381310976", "6314083806394358817244705266941952", "25655084790196439186603345691314159616" ]
[ "nonn", "nice" ]
20
4
1
[ "A000573", "A001009", "A003170" ]
null
Brendan McKay and Eric Rogoyski
2018-11-30T03:04:53
oeisdata/seq/A000/A000573.seq
fc98654d8e3a0e24cc6fd567e81c5110
A000574
Coefficient of x^5 in expansion of (1 + x + x^2)^n.
[ "3", "16", "51", "126", "266", "504", "882", "1452", "2277", "3432", "5005", "7098", "9828", "13328", "17748", "23256", "30039", "38304", "48279", "60214", "74382", "91080", "110630", "133380", "159705", "190008", "224721", "264306", "309256", "360096", "417384", "481712", "553707", "634032", "723387", "822510" ]
[ "nonn", "easy" ]
81
3
1
[ "A000217", "A000389", "A000574", "A005581", "A005712", "A005714", "A005716", "A055998", "A095660", "A111808" ]
[ "M3011", "N1219" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000574.seq
2e627ea933d192c17fbee0fd509a7181
A000575
Tenth column of quintinomial coefficients.
[ "10", "80", "365", "1246", "3535", "8800", "19855", "41470", "81367", "151580", "270270", "464100", "771290", "1245488", "1960610", "3016820", "4547840", "6729800", "9791859", "14028850", "19816225", "27627600", "38055225", "51833730", "69867525", "93262260", "123360780", "161784040", "210477476", "271763360" ]
[ "nonn", "easy" ]
54
0
1
null
[ "M4729", "N2021" ]
N. J. A. Sloane
2023-06-24T21:41:23
oeisdata/seq/A000/A000575.seq
272a25416d01aca2b55c12b30263bb35
A000576
a(n) is the number of (n-2) X n normalized Latin rectangles.
[ "1", "3", "46", "6552", "11270400", "335390189568", "224382967916691456", "4292039421591854273003520", "2905990310033882693113989027594240" ]
[ "nonn", "more" ]
16
3
2
[ "A000576", "A001009" ]
null
Brendan McKay and Eric Rogoyski
2018-11-29T16:00:46
oeisdata/seq/A000/A000576.seq
c4c20ef14a3a6c5a3292a7f3bcc82a0e
A000577
Number of triangular polyominoes (or triangular polyforms, or polyiamonds) with n cells (turning over is allowed, holes are allowed, must be connected along edges).
[ "1", "1", "1", "3", "4", "12", "24", "66", "160", "448", "1186", "3334", "9235", "26166", "73983", "211297", "604107", "1736328", "5000593", "14448984", "41835738", "121419260", "353045291", "1028452717", "3000800627", "8769216722", "25661961898", "75195166667", "220605519559", "647943626796", "1905104762320", "5607039506627", "16517895669575" ]
[ "nonn", "hard", "nice" ]
85
1
4
[ "A000105", "A000207", "A000228", "A000577", "A001420", "A006534", "A030223", "A030224", "A070765", "A096361", "A103465" ]
[ "M2374", "N0941" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000577.seq
6059a84a6312c356cf539ca8e41ea7db
A000578
The cubes: a(n) = n^3.
[ "0", "1", "8", "27", "64", "125", "216", "343", "512", "729", "1000", "1331", "1728", "2197", "2744", "3375", "4096", "4913", "5832", "6859", "8000", "9261", "10648", "12167", "13824", "15625", "17576", "19683", "21952", "24389", "27000", "29791", "32768", "35937", "39304", "42875", "46656", "50653", "54872", "59319", "64000", "68921", "74088", "79507" ]
[ "nonn", "core", "easy", "nice", "mult" ]
518
0
3
[ "A000292", "A000447", "A000537", "A000578", "A001158", "A003072", "A003325", "A004006", "A004068", "A004126", "A004188", "A004466", "A004467", "A005900", "A006003", "A006527", "A006564", "A006566", "A007412", "A007588", "A024166", "A024670", "A030078", "A048766", "A058645", "A062025", "A063521", "A063522", "A063523", "A065876", "A098737", "A101094", "A101097", "A101102", "A145784", "A260260" ]
[ "M4499", "N1905" ]
N. J. A. Sloane
2025-03-09T05:06:18
oeisdata/seq/A000/A000578.seq
a267f46c2aa8ae8f936c217f5cd6553c
A000579
Figurate numbers or binomial coefficients C(n,6).
[ "0", "0", "0", "0", "0", "0", "1", "7", "28", "84", "210", "462", "924", "1716", "3003", "5005", "8008", "12376", "18564", "27132", "38760", "54264", "74613", "100947", "134596", "177100", "230230", "296010", "376740", "475020", "593775", "736281", "906192", "1107568", "1344904", "1623160", "1947792", "2324784", "2760681", "3262623" ]
[ "nonn", "easy", "nice" ]
219
0
8
[ "A000217", "A000292", "A000332", "A000389", "A000579", "A000580", "A000581", "A000582", "A053128", "A053135", "A104712" ]
[ "M4390", "N1847" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000579.seq
57def580e5dce7efa5338ddb8bb1ec34
A000580
a(n) = binomial coefficient C(n,7).
[ "1", "8", "36", "120", "330", "792", "1716", "3432", "6435", "11440", "19448", "31824", "50388", "77520", "116280", "170544", "245157", "346104", "480700", "657800", "888030", "1184040", "1560780", "2035800", "2629575", "3365856", "4272048", "5379616", "6724520", "8347680", "10295472" ]
[ "nonn", "easy", "changed" ]
160
7
2
[ "A000217", "A000292", "A000332", "A000389", "A000579", "A000580", "A000581", "A000582", "A001787", "A053129", "A053136", "A104712", "A242091" ]
[ "M4517", "N1911" ]
N. J. A. Sloane
2025-04-27T08:02:24
oeisdata/seq/A000/A000580.seq
03a16debb3fe8cf21b45d7c169a37575
A000581
a(n) = binomial coefficient C(n,8).
[ "1", "9", "45", "165", "495", "1287", "3003", "6435", "12870", "24310", "43758", "75582", "125970", "203490", "319770", "490314", "735471", "1081575", "1562275", "2220075", "3108105", "4292145", "5852925", "7888725", "10518300", "13884156", "18156204", "23535820", "30260340", "38608020", "48903492", "61523748", "76904685" ]
[ "nonn", "easy" ]
168
8
2
[ "A000217", "A000292", "A000332", "A000389", "A000579", "A000580", "A000581", "A001787", "A053130", "A053137", "A242091", "A254142" ]
[ "M4626", "N1976" ]
N. J. A. Sloane
2025-03-14T17:11:13
oeisdata/seq/A000/A000581.seq
1baa8cdc7ec85f6a383dc9ff769e3815
A000582
a(n) = binomial coefficient C(n,9).
[ "1", "10", "55", "220", "715", "2002", "5005", "11440", "24310", "48620", "92378", "167960", "293930", "497420", "817190", "1307504", "2042975", "3124550", "4686825", "6906900", "10015005", "14307150", "20160075", "28048800", "38567100", "52451256", "70607460", "94143280", "124403620", "163011640", "211915132" ]
[ "easy", "nonn" ]
128
9
2
[ "A000581", "A000582", "A001787", "A035927", "A053131", "A053138", "A242091" ]
[ "M4712", "N2013" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000582.seq
e03c4d255cba3da466fd0a7523d31b23
A000583
Fourth powers: a(n) = n^4.
[ "0", "1", "16", "81", "256", "625", "1296", "2401", "4096", "6561", "10000", "14641", "20736", "28561", "38416", "50625", "65536", "83521", "104976", "130321", "160000", "194481", "234256", "279841", "331776", "390625", "456976", "531441", "614656", "707281", "810000", "923521", "1048576", "1185921" ]
[ "nonn", "core", "easy", "nice", "mult" ]
253
0
3
[ "A000290", "A000332", "A000538", "A000583", "A002415", "A002593", "A002646", "A004831", "A005917", "A006008", "A014820", "A039623", "A047928", "A062392", "A071270", "A092181", "A092182", "A092183", "A132366", "A139584", "A187756", "A231303", "A260810", "A267315" ]
[ "M5004", "N2154" ]
N. J. A. Sloane
2025-03-08T15:18:38
oeisdata/seq/A000/A000583.seq
25bc0291216fe049015e25c738b44ae1
A000584
Fifth powers: a(n) = n^5.
[ "0", "1", "32", "243", "1024", "3125", "7776", "16807", "32768", "59049", "100000", "161051", "248832", "371293", "537824", "759375", "1048576", "1419857", "1889568", "2476099", "3200000", "4084101", "5153632", "6436343", "7962624", "9765625", "11881376", "14348907", "17210368", "20511149" ]
[ "nonn", "easy", "mult" ]
111
0
3
[ "A000012", "A000290", "A000539", "A000578", "A000583", "A000584", "A001477", "A008292", "A013663", "A022521", "A062392", "A123125", "A162624", "A173018", "A267316" ]
[ "M5231", "N2277" ]
N. J. A. Sloane
2022-04-13T13:25:15
oeisdata/seq/A000/A000584.seq
4b33b34c02d8a1aaa9df7721c815e7b1
A000585
Number of equivalence classes of Boolean functions of n variables under GL(n,2).
[ "4", "8", "20", "92", "2744", "950998216", "2076795963681989019155896", "21651217007530946175606768762255421159692845640522169779616" ]
[ "nonn", "easy", "nice" ]
21
1
1
null
[ "M3337", "N1343" ]
N. J. A. Sloane
2020-11-07T10:05:56
oeisdata/seq/A000/A000585.seq
d38e050a29d96dbd3622146db365be1e
A000586
Number of partitions of n into distinct primes.
[ "1", "0", "1", "1", "0", "2", "0", "2", "1", "1", "2", "1", "2", "2", "2", "2", "3", "2", "4", "3", "4", "4", "4", "5", "5", "5", "6", "5", "6", "7", "6", "9", "7", "9", "9", "9", "11", "11", "11", "13", "12", "14", "15", "15", "17", "16", "18", "19", "20", "21", "23", "22", "25", "26", "27", "30", "29", "32", "32", "35", "37", "39", "40", "42", "44", "45", "50", "50", "53", "55", "57", "61", "64", "67", "70", "71", "76", "78", "83", "87", "89", "93", "96" ]
[ "nonn", "nice", "easy" ]
96
0
6
[ "A000009", "A000041", "A000586", "A000607", "A046675", "A070215", "A112022", "A319264", "A319267" ]
[ "M0022", "N0004", "N0039" ]
N. J. A. Sloane
2022-03-27T03:22:41
oeisdata/seq/A000/A000586.seq
761366f889cb485ca7a19481dd156eaa
A000587
Rao Uppuluri-Carpenter numbers (or complementary Bell numbers): e.g.f. = exp(1 - exp(x)).
[ "1", "-1", "0", "1", "1", "-2", "-9", "-9", "50", "267", "413", "-2180", "-17731", "-50533", "110176", "1966797", "9938669", "8638718", "-278475061", "-2540956509", "-9816860358", "27172288399", "725503033401", "5592543175252", "15823587507881", "-168392610536153", "-2848115497132448", "-20819319685262839" ]
[ "sign", "easy", "nice" ]
275
0
6
[ "A000110", "A000587", "A007318", "A011971", "A078937", "A153229", "A213170" ]
[ "M1913", "N0755" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000587.seq
de64467af9ed0e3d7152cef77be457dd
A000588
a(n) = 7*binomial(2n,n-3)/(n+4).
[ "0", "0", "0", "1", "7", "35", "154", "637", "2548", "9996", "38760", "149226", "572033", "2187185", "8351070", "31865925", "121580760", "463991880", "1771605360", "6768687870", "25880277150", "99035193894", "379300783092", "1453986335186", "5578559816632", "21422369201800", "82336410323440", "316729578421620" ]
[ "nonn", "easy" ]
121
0
5
[ "A000108", "A000245", "A000344", "A000588", "A001392", "A001622", "A002057", "A003517", "A003518", "A003519", "A009766", "A026014", "A030237", "A033184", "A047072", "A059365", "A099039", "A106566", "A130020" ]
[ "M4413", "N1866" ]
N. J. A. Sloane
2025-01-05T19:51:31
oeisdata/seq/A000/A000588.seq
efd6d5459bc0b7d0d14e5817878a92f8
A000589
a(n) = 11*binomial(2n,n-5)/(n+6).
[ "1", "11", "77", "440", "2244", "10659", "48279", "211508", "904475", "3798795", "15737865", "64512240", "262256280", "1059111900", "4254603804", "17018415216", "67837293986", "269638992062", "1069258071970", "4232010895376", "16723268860760", "65997186039785", "260170725132045", "1024713341952300" ]
[ "nonn" ]
56
5
2
[ "A000108", "A000589", "A001622", "A214292" ]
[ "M4797", "N2048" ]
N. J. A. Sloane
2022-09-26T06:19:15
oeisdata/seq/A000/A000589.seq
c75cb612b1d00006a3c19cd57fe89be1
A000590
a(n) = 13*binomial(2n,n-6)/(n+7).
[ "1", "13", "104", "663", "3705", "19019", "92092", "427570", "1924065", "8454225", "36463440", "154969620", "650872404", "2707475148", "11173706960", "45812198536", "186803188858", "758201178306", "3065415516592", "12352414499425", "49634247352235", "198954083924505", "795816335698020", "3177498557750790" ]
[ "nonn" ]
45
6
2
[ "A000108", "A000590", "A001622", "A214292" ]
[ "M4908", "N2104" ]
N. J. A. Sloane
2022-09-26T05:46:28
oeisdata/seq/A000/A000590.seq
e0a342f6be1556845e8398150b0e5cba
A000591
Number of n-state 2-input 1-output automata with one initial and one terminal state.
[ "10", "378", "16576", "819470", "45660051", "2846339383", "196946930215", "15006717613499", "1250005718758059", "113076157328915784", "11044120989736000167", "1158658706030435109195", "129976520576914828292552" ]
[ "nonn" ]
16
1
1
null
[ "M4752", "N2033" ]
N. J. A. Sloane
2022-02-01T01:03:49
oeisdata/seq/A000/A000591.seq
a79d2d8b4c6fa294b383deebb322b97f
A000592
Number of nonnegative solutions of x^2 + y^2 = z in first n shells.
[ "1", "3", "4", "6", "8", "9", "11", "13", "15", "17", "19", "20", "22", "26", "28", "30", "31", "33", "35", "37", "39", "41", "43", "45", "48", "50", "52", "54", "56", "58", "62", "64", "65", "67", "69", "71", "73", "75", "79", "81", "83", "85", "86", "90", "92", "94", "96", "98", "100", "102", "104", "106", "108", "112", "113", "117", "119", "121", "123", "127", "129", "131", "133", "135", "137" ]
[ "nonn", "nice", "easy" ]
34
0
2
[ "A000592", "A000925" ]
[ "M2324", "N0919" ]
N. J. A. Sloane
2023-09-02T04:37:22
oeisdata/seq/A000/A000592.seq
ab8e2a576ee2ead5ef59320a26bacdd1
A000593
Sum of odd divisors of n.
[ "1", "1", "4", "1", "6", "4", "8", "1", "13", "6", "12", "4", "14", "8", "24", "1", "18", "13", "20", "6", "32", "12", "24", "4", "31", "14", "40", "8", "30", "24", "32", "1", "48", "18", "48", "13", "38", "20", "56", "6", "42", "32", "44", "12", "78", "24", "48", "4", "57", "31", "72", "14", "54", "40", "72", "8", "80", "30", "60", "24", "62", "32", "104", "1", "84", "48", "68", "18", "96", "48", "72", "13", "74", "38", "124" ]
[ "nonn", "core", "easy", "nice", "mult" ]
275
1
3
[ "A000005", "A000203", "A000265", "A000593", "A001227", "A006128", "A050999", "A051000", "A051001", "A051002", "A065442", "A069289", "A078471", "A247837", "A301799", "A301800" ]
[ "M3197", "N1292" ]
N. J. A. Sloane
2025-02-16T08:32:21
oeisdata/seq/A000/A000593.seq
245a7595d41b0d28305b690f35d01ae9
A000594
Ramanujan's tau function (or Ramanujan numbers, or tau numbers).
[ "1", "-24", "252", "-1472", "4830", "-6048", "-16744", "84480", "-113643", "-115920", "534612", "-370944", "-577738", "401856", "1217160", "987136", "-6905934", "2727432", "10661420", "-7109760", "-4219488", "-12830688", "18643272", "21288960", "-25499225", "13865712", "-73279080", "24647168" ]
[ "sign", "easy", "core", "mult", "nice", "changed" ]
399
1
2
[ "A000594", "A004009", "A006352", "A008408", "A010816", "A013973", "A027364", "A037945", "A037946", "A037947", "A037955", "A046694", "A076847", "A098108", "A099059", "A099060", "A106867", "A126812", "A126832", "A262339", "A278577", "A292781" ]
[ "M5153", "N2237" ]
N. J. A. Sloane
2025-04-16T03:05:22
oeisdata/seq/A000/A000594.seq
6ec15a31f379d3421781148294762b7c
A000595
Number of binary relations on n unlabeled points.
[ "1", "2", "10", "104", "3044", "291968", "96928992", "112282908928", "458297100061728", "6666621572153927936", "349390545493499839161856", "66603421985078180758538636288", "46557456482586989066031126651104256", "120168591267113007604119117625289606148096", "1152050155760474157553893461743236772303142428672" ]
[ "nonn", "nice" ]
137
0
2
[ "A000088", "A000273", "A000595", "A001173", "A001174", "A002416", "A002724", "A003087", "A003216" ]
[ "M1980", "N0784" ]
N. J. A. Sloane
2024-07-02T12:33:19
oeisdata/seq/A000/A000595.seq
95dc6acd017ffff18253940442d7b7dd
A000596
Central factorial numbers: A008955(n,2).
[ "4", "49", "273", "1023", "3003", "7462", "16422", "32946", "61446", "108031", "180895", "290745", "451269", "679644", "997084", "1429428", "2007768", "2769117", "3757117", "5022787", "6625311", "8632866", "11123490", "14185990", "17920890", "22441419", "27874539", "34362013", "42061513", "51147768", "61813752", "74271912" ]
[ "nonn", "easy" ]
104
3
1
[ "A000290", "A000330", "A000596", "A000597", "A008955" ]
[ "M3686", "N1505" ]
N. J. A. Sloane
2025-01-13T10:34:04
oeisdata/seq/A000/A000596.seq
e2eaac1fdedab07a2a458ba9b5486c62
A000597
Central factorial numbers: A008955(n,3).
[ "36", "820", "7645", "44473", "191620", "669188", "1999370", "5293970", "12728936", "28285400", "58856655", "115842675", "217378200", "391367064", "679524340", "1142659012", "1867463260", "2975110060", "4631998657", "7063027565", "10567817084", "15540347900", "22492529150", "32082258390", "45146587200" ]
[ "nonn", "easy" ]
108
4
1
[ "A000290", "A000330", "A000596", "A000597", "A001303", "A008955" ]
[ "M5255", "N2287" ]
N. J. A. Sloane
2025-01-13T10:46:26
oeisdata/seq/A000/A000597.seq
c21efd420c660da87f0a6aeff5969c6e
A000598
Number of rooted ternary trees with n nodes; number of n-carbon alkyl radicals C(n)H(2n+1) ignoring stereoisomers.
[ "1", "1", "1", "2", "4", "8", "17", "39", "89", "211", "507", "1238", "3057", "7639", "19241", "48865", "124906", "321198", "830219", "2156010", "5622109", "14715813", "38649152", "101821927", "269010485", "712566567", "1891993344", "5034704828", "13425117806", "35866550869", "95991365288", "257332864506", "690928354105" ]
[ "nonn", "easy", "nice", "eigen" ]
163
0
4
[ "A000081", "A000598", "A000599", "A000600", "A000602", "A000625", "A000628", "A000678", "A001190", "A010372", "A010373", "A014591", "A032305", "A086194", "A086200", "A261340", "A292553", "A292554", "A292555", "A292556", "A295461", "A298118", "A298120", "A298204", "A298422", "A298426", "A299038" ]
[ "M1146", "N0436", "N1341" ]
N. J. A. Sloane
2025-04-06T14:57:33
oeisdata/seq/A000/A000598.seq
ada5e6aa9ab6d07dbe522a5a310c6f7f
A000599
Number of secondary alcohols (alkanols or alkyl alcohols C_n H_{2n+1} OH) with n carbon atoms.
[ "0", "0", "1", "1", "3", "6", "15", "33", "82", "194", "482", "1188", "2988", "7528", "19181", "49060", "126369", "326863", "849650", "2216862", "5806256", "15256265", "40210657", "106273050", "281593237", "747890675", "1990689459", "5309397294", "14187485959", "37977600390", "101827024251" ]
[ "nonn", "easy" ]
32
1
5
[ "A000598", "A000599", "A000600" ]
[ "M2585", "N1023" ]
N. J. A. Sloane
2019-07-05T15:37:10
oeisdata/seq/A000/A000599.seq
50079d9355df9c66951cd48c60073beb
A000600
Number of tertiary alcohols (alkanols or alkyl alcohols C_n H_{2n+1} OH) with n carbon atoms.
[ "0", "0", "0", "0", "1", "1", "3", "7", "17", "40", "102", "249", "631", "1594", "4074", "10443", "26981", "69923", "182158", "476141", "1249237", "3287448", "8677074", "22962118", "60915508", "161962845", "431536102", "1152022025", "3081015684", "8253947104", "22147214029", "59514474967" ]
[ "nonn", "easy", "nice" ]
34
0
7
[ "A000598", "A000600" ]
[ "M2664", "N1063" ]
N. J. A. Sloane
2019-07-05T15:37:17
oeisdata/seq/A000/A000600.seq
e1637cf479f34675007d445d20fe8fc6