sequence_id
stringlengths
7
7
sequence_name
stringlengths
4
573
sequence
sequencelengths
1
348
keywords
sequencelengths
1
8
score
int64
1
2.31k
offset_a
int64
-14,827
666,262,453B
offset_b
int64
0
635M
cross_references
sequencelengths
1
128
former_ids
sequencelengths
1
3
author
stringlengths
7
231
timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-04-28 00:58:08
filename
stringlengths
29
29
hash
stringlengths
32
32
A005501
Number of unrooted triangulations of a pentagon with n internal nodes.
[ "1", "4", "14", "69", "396", "2503", "16905", "119571", "874771", "6567181", "50329363", "392328944", "3102523829", "24839151315", "201011560316", "1642124006250", "13527821578754", "112279051170871", "938188211057701", "7887160187935198", "66672792338916470", "566452703137103796", "4834838039006782636" ]
[ "nonn" ]
36
0
2
[ "A002711", "A005501", "A005506", "A169808" ]
[ "M3488" ]
N. J. A. Sloane
2021-02-23T10:06:09
oeisdata/seq/A005/A005501.seq
ea20a1a2498f5ac44ebc4d174be011c8
A005502
Number of unrooted triangulations of a hexagon with n internal nodes.
[ "3", "11", "53", "295", "1867", "12560", "89038", "652198", "4903955", "37627699", "293607612", "2323604832", "18614121391", "150704813812", "1231596828200", "10148762396401", "84252059397251", "704122279126074", "5920239345451780", "50051285956517452", "425273487358680290", "3630084126997807369" ]
[ "nonn" ]
35
0
1
[ "A005495", "A005502", "A005507", "A169808" ]
[ "M2904" ]
N. J. A. Sloane
2021-02-23T10:06:16
oeisdata/seq/A005/A005502.seq
b2565dabe74ac6313c929f9f77af3161
A005503
Number of unrooted triangulations of a disk with one internal node and n+3 nodes on the boundary.
[ "1", "2", "4", "11", "28", "91", "291", "1004", "3471", "12350", "44114", "159519", "579835", "2121845", "7800702", "28813730", "106844383", "397647256", "1484755972", "5560561040", "20881939915", "78617991116", "296678132514", "1121988213996", "4251702739831", "16141719280994", "61389611762126", "233856524866209" ]
[ "nonn" ]
30
0
2
[ "A005503", "A169808" ]
[ "M1248" ]
N. J. A. Sloane
2021-02-23T10:06:24
oeisdata/seq/A005/A005503.seq
d5499ed044ed4dfbc46fc19889547f50
A005504
Number of unrooted triangulations of a disk with 2 internal nodes and n+3 nodes on the boundary.
[ "1", "5", "14", "53", "178", "685", "2548", "9876", "37950", "147520", "572594", "2230735", "8693932", "33939465", "132598484", "518607032", "2029990774", "7952788446", "31179668572", "122331725930", "480283816348", "1886829349570", "7416950176904", "29171683995320", "114795961678380", "451968102200966", "1780298693036010" ]
[ "nonn" ]
25
0
2
[ "A005504", "A169808" ]
[ "M3846" ]
N. J. A. Sloane
2021-02-23T10:06:35
oeisdata/seq/A005/A005504.seq
c6746330a02e9fcddcf957e517b87a2c
A005505
Number of unrooted triangulations with reflection symmetry of a quadrilateral with n internal nodes.
[ "1", "2", "4", "10", "29", "86", "266", "844", "2742", "9032", "30202", "101988", "347914", "1195500", "4138310", "14405848", "50428392", "177321636", "626250990", "2219876580", "7896651847", "28176271634", "100830069380", "361757157484", "1301092926454", "4689840961196", "16940093338162", "61305930699382" ]
[ "nonn" ]
40
0
2
[ "A002710", "A005500", "A005505", "A169809" ]
[ "M1227" ]
N. J. A. Sloane
2021-02-23T10:06:45
oeisdata/seq/A005/A005505.seq
0a472253cd7702f90da492e969a254ad
A005506
Number of unrooted triangulations with reflection symmetry of a pentagon with n internal nodes.
[ "1", "3", "7", "19", "57", "176", "557", "1806", "5954", "19897", "67235", "229366", "788688", "2730810", "9512107", "33309444", "117190184", "414039578", "1468349782", "5225201321", "18651958885", "66769742002", "239643164237", "862168692562", "3108716586702", "11232127258416", "40660388117380", "147453014455094" ]
[ "nonn" ]
37
0
2
[ "A002711", "A005501", "A005506", "A169809" ]
[ "M2676" ]
N. J. A. Sloane
2021-02-23T10:07:00
oeisdata/seq/A005/A005506.seq
bd27f2c76628fbfedc6dcc03a1d34060
A005507
Number of unrooted triangulations with reflection symmetry of a hexagon with n internal nodes.
[ "2", "6", "18", "52", "166", "524", "1722", "5664", "19072", "64408", "220676", "758864", "2634734", "9180872", "32208376", "113371636", "401067522", "1423073892", "5068961452", "18103192360", "64853607912", "232872927444", "838311889890", "3023961593292", "10931277735230", "39586258360246", "143617299291242" ]
[ "nonn" ]
33
0
1
[ "A005495", "A005502", "A005507", "A169809" ]
[ "M1622" ]
N. J. A. Sloane
2021-02-23T10:07:10
oeisdata/seq/A005/A005507.seq
04e3171dd1f4b5348ad4a79024b850bf
A005508
Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.
[ "1", "2", "3", "6", "8", "18", "23", "56", "70", "180", "222", "594", "726", "2002", "2431", "6864", "8294", "23868", "28730", "83980", "100776", "298452", "357238", "1069776", "1277788", "3863080", "4605980", "14040810", "16715250", "51325650", "61020495", "188574240", "223931910", "695987820", "825632610", "2579248980" ]
[ "nonn" ]
23
0
2
[ "A005508", "A169809" ]
[ "M0755" ]
N. J. A. Sloane
2021-02-23T10:07:19
oeisdata/seq/A005/A005508.seq
610cced68f09a4c6962cbd0daabb61dc
A005509
Number of unrooted triangulations with reflection symmetry of a disk with 2 internal nodes and n+3 nodes on the boundary.
[ "1", "4", "7", "18", "26", "68", "91", "248", "318", "900", "1122", "3278", "4004", "12012", "14443", "44304", "52598", "164424", "193154", "613700", "714476", "2302344", "2659582", "8677072", "9954860", "32836180", "37442160", "124715430", "141430680", "475237500", "536257995", "1816267680", "2040199590", "6959878200" ]
[ "nonn" ]
22
0
2
[ "A005509", "A169809" ]
[ "M3312" ]
N. J. A. Sloane
2021-02-23T10:07:27
oeisdata/seq/A005/A005509.seq
9c701eae5d498d36dd4b0861e4cc5eea
A005510
a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 3.
[ "3", "10", "31", "101", "311", "962", "3132", "10202", "31412", "96722", "299183", "925445", "3012985", "9809425", "31952665", "104080805", "320465225", "986713745", "3038231465", "9355145285", "28937578127", "89510467490", "276877411436", "856448448026", "2788351903326", "9078078610226", "29555650383626" ]
[ "nonn", "easy" ]
18
1
1
[ "A005468", "A005469", "A005510" ]
[ "M2842" ]
Colin Mallows
2019-07-04T15:47:46
oeisdata/seq/A005/A005510.seq
887142492f73a215640551a685265b7e
A005511
a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 4.
[ "4", "17", "69", "290", "1174", "4762", "20011", "84101", "340461", "1378277", "5590589", "22676645", "95292383", "400440122", "1682945112", "7072978202", "28633110562", "115913692522", "469249565698", "1899647488730", "7705380235154", "31254685366922", "126775802093906", "514230228456026", "2160911540495036" ]
[ "nonn", "nice" ]
29
1
1
null
[ "M3536" ]
Colin Mallows
2019-07-04T15:46:50
oeisdata/seq/A005/A005511.seq
eaf8867dfc272c8fc8c29e2504c8d61c
A005512
Number of series-reduced labeled trees with n nodes.
[ "1", "1", "0", "4", "5", "96", "427", "6448", "56961", "892720", "11905091", "211153944", "3692964145", "75701219608", "1613086090995", "38084386700896", "949168254452993", "25524123909350112", "725717102391257347", "21955114496683796680" ]
[ "nonn", "nice" ]
75
1
4
[ "A000014", "A005512", "A060313" ]
[ "M3261" ]
N. J. A. Sloane, Simon Plouffe
2025-02-16T08:32:28
oeisdata/seq/A005/A005512.seq
e1f59c77125bdacc024c126ee9f4b6c8
A005513
Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.
[ "1", "1", "4", "7", "16", "26", "50", "76", "126", "185", "280", "392", "561", "756", "1032", "1353", "1782", "2277", "2920", "3652", "4576", "5626", "6916", "8372", "10133", "12103", "14448", "17063", "20128", "23528", "27474", "31824", "36822", "42315", "48564", "55404", "63133", "71554", "81004" ]
[ "nonn", "easy", "nice" ]
101
6
3
[ "A005513", "A052307" ]
[ "M3311" ]
N. J. A. Sloane
2025-02-26T11:24:08
oeisdata/seq/A005/A005513.seq
9e4e600e8138688dde30a14d4f93875d
A005514
Number of n-bead bracelets (turnover necklaces) with 8 red beads and n-8 black beads.
[ "1", "1", "5", "10", "29", "57", "126", "232", "440", "750", "1282", "2052", "3260", "4950", "7440", "10824", "15581", "21879", "30415", "41470", "56021", "74503", "98254", "127920", "165288", "211276", "268228", "337416", "421856", "523260", "645456", "790704", "963793", "1167645", "1408185" ]
[ "nonn", "easy", "nice" ]
148
8
3
[ "A005514", "A008805", "A032193", "A032279", "A032280", "A032281", "A032282", "A052307", "A119963", "A292906" ]
[ "M3801" ]
N. J. A. Sloane
2025-02-26T11:14:07
oeisdata/seq/A005/A005514.seq
b2bc37704d0748de340067efee7d59f8
A005515
Number of n-bead bracelets (turnover necklaces) of two colors with 10 red beads and n-10 black beads.
[ "1", "1", "6", "14", "47", "111", "280", "600", "1282", "2494", "4752", "8524", "14938", "25102", "41272", "65772", "102817", "156871", "235378", "346346", "502303", "716859", "1010256", "1404624", "1931540", "2625658", "3534776", "4711448", "6226148", "8156396", "10603704", "13679696", "17527595", "22304765", "28209566", "35459694" ]
[ "nonn" ]
79
10
3
[ "A005515", "A052307" ]
[ "M4105" ]
N. J. A. Sloane
2025-04-02T05:15:56
oeisdata/seq/A005/A005515.seq
ee6426acf9743ee2f5aebcec0b8faeba
A005516
Number of n-bead bracelets (turnover necklaces) with 12 red beads.
[ "1", "1", "7", "19", "72", "196", "561", "1368", "3260", "7105", "14938", "29624", "56822", "104468", "186616", "322786", "544802", "896259", "1444147", "2278640", "3532144", "5380034", "8070400", "11926928", "17393969", "25042836", "35638596", "50152013", "69855536" ]
[ "nonn" ]
73
12
3
[ "A005516", "A052307" ]
[ "M4368" ]
N. J. A. Sloane
2025-02-26T11:22:14
oeisdata/seq/A005/A005516.seq
ff1cb4a5f08a634b76e9eb2d291d835a
A005517
Smallest label f(T) given to a rooted tree T with n nodes in Matula-Goebel labeling.
[ "1", "2", "3", "5", "9", "15", "25", "45", "75", "125", "225", "375", "625", "1125", "1875", "3125", "5625", "9375", "15625", "28125", "46875", "78125", "140625", "234375", "390625", "703125", "1171875", "1953125", "3515625", "5859375", "9765625", "17578125", "29296875", "48828125" ]
[ "nonn", "easy", "nice" ]
67
1
2
[ "A005517", "A005518", "A061773" ]
[ "M0706" ]
N. J. A. Sloane
2022-03-09T09:05:57
oeisdata/seq/A005/A005517.seq
2228b7a76a8a72df5ab622586867fe37
A005518
Largest label f(T) given to a rooted tree T with n nodes in Matula-Goebel labeling.
[ "1", "2", "4", "8", "19", "67", "331", "2221", "19577", "219613", "3042161", "50728129", "997525853", "22742734291", "592821132889", "17461204521323", "575411103069067", "21034688742654437", "846729487306354343" ]
[ "nonn" ]
50
1
2
[ "A005517", "A005518", "A057452", "A061773" ]
[ "M1154" ]
N. J. A. Sloane
2022-01-24T07:11:34
oeisdata/seq/A005/A005518.seq
83e1470565677de606ed440c61298359
A005519
Let T(n,d) = number of distinct d-dimensional polyominoes (or polycubes) with n cells (A049429, A049430); sequence gives Sum_{d} T(n,d).
[ "1", "1", "2", "7", "26", "153", "1134", "11050", "128987", "1765252", "27418060" ]
[ "nonn", "nice", "hard", "more" ]
24
1
3
[ "A005519", "A049429", "A049430" ]
[ "M1775" ]
N. J. A. Sloane
2022-01-31T01:40:29
oeisdata/seq/A005/A005519.seq
c1cdd9e66f6228a6f428c58b201d304e
A005520
Smallest number of complexity n: smallest number requiring n 1's to build using + and *.
[ "1", "2", "3", "4", "5", "7", "10", "11", "17", "22", "23", "41", "47", "59", "89", "107", "167", "179", "263", "347", "467", "683", "719", "1223", "1438", "1439", "2879", "3767", "4283", "6299", "10079", "11807", "15287", "21599", "33599", "45197", "56039", "81647", "98999", "163259", "203999", "241883", "371447", "540539", "590399", "907199" ]
[ "nonn", "nice" ]
114
1
2
[ "A003037", "A005245", "A005421", "A005520", "A025280", "A048183", "A181898", "A182061", "A265360" ]
[ "M0523" ]
N. J. A. Sloane
2025-02-16T08:32:28
oeisdata/seq/A005/A005520.seq
e075d204fdd5c724ad250f009e778e42
A005521
1 + (sum of first n odd primes - n)/2.
[ "1", "2", "4", "7", "12", "18", "26", "35", "46", "60", "75", "93", "113", "134", "157", "183", "212", "242", "275", "310", "346", "385", "426", "470", "518", "568", "619", "672", "726", "782", "845", "910", "978", "1047", "1121", "1196", "1274", "1355", "1438", "1524", "1613", "1703", "1798" ]
[ "nonn" ]
9
0
2
[ "A005521", "A065917" ]
null
N. J. A. Sloane.
2022-06-25T22:52:27
oeisdata/seq/A005/A005521.seq
ffb41d194a71617882f449ba6fcd03a4
A005522
a(n) = 1 + L(n) + F(2*n-1) with {L(n)}_{n>=0} the Lucas numbers (A000032) and F(2*n-1)_{n>=0} the bisected Fibonacci numbers (A001519).
[ "4", "3", "6", "10", "21", "46", "108", "263", "658", "1674", "4305", "11146", "28980", "75547", "197262", "515594", "1348477", "3528150", "9233244", "24167167", "63261114", "165604618", "433534041", "1134967250", "2971318756", "7778909811", "20365282518", "53316730378", "139584573093", "365436446014", "956723886540" ]
[ "nonn", "easy" ]
105
0
1
[ "A000032", "A000045", "A001519", "A001622", "A005522", "A006172", "A079586", "A254884" ]
[ "M2537" ]
N. J. A. Sloane
2025-01-05T19:51:33
oeisdata/seq/A005/A005522.seq
4c001c4ad0c78b628158472e5dcd2750
A005523
a(n) = maximal number of rational points on an elliptic curve over GF(q), where q = A246655(n) is the n-th prime power > 1.
[ "5", "7", "9", "10", "13", "14", "16", "18", "21", "25", "26", "28", "33", "36", "38", "40", "43", "44", "50", "54", "57", "61", "64", "68", "75", "77", "81", "84", "88", "91", "97", "100", "102", "108", "117", "122", "124", "128", "130", "135", "144", "148", "150", "150", "154", "161", "163", "174", "176", "183", "189", "193", "196", "200", "206", "208", "219", "221", "226", "228", "241", "253", "258", "260" ]
[ "nonn", "easy" ]
51
1
1
[ "A000961", "A005523", "A246655" ]
[ "M3757" ]
N. J. A. Sloane
2025-02-16T08:32:28
oeisdata/seq/A005/A005523.seq
4c4da87a861875298eb1800e7303e258
A005524
Values k arising from a construction of Hirschfeld of k-arcs on elliptic curves over GF(q), where q = A246655(n) is the n-th prime power > 1.
[ "2", "3", "4", "5", "6", "7", "8", "9", "10", "12", "13", "14", "16", "18", "19", "20", "21", "22", "25", "27", "28", "30", "32", "34", "37", "38", "40", "42", "44", "45", "48", "50", "51", "54", "58", "61", "62", "64", "65", "67", "72", "74", "75", "75", "77", "80", "81", "87", "88", "91", "94", "96", "98", "100", "103", "104", "109", "110", "113", "114", "120", "126", "129", "130", "132", "135", "136", "137", "141" ]
[ "nonn" ]
31
1
1
[ "A000961", "A005523", "A005524", "A365216" ]
[ "M0475" ]
N. J. A. Sloane.
2023-08-27T10:35:41
oeisdata/seq/A005/A005524.seq
b76d93498633b33e548d869bba8d7ba2
A005525
Maximal number of rational points on a curve of genus 2 over GF(q), where q = A246655(n) is the n-th prime power > 1.
[ "6", "8", "10", "12", "16", "18", "20", "24", "26", "33", "32", "36", "42", "46", "48", "50", "52", "53", "60", "66", "68", "74", "78", "82", "90", "92", "97", "100", "104", "106", "114", "118", "120", "126", "136", "140", "144", "148", "150", "156", "166", "170", "172", "172", "176", "184", "186", "198", "200", "206", "214", "218", "222", "226", "232", "234", "246", "248", "252", "256", "268", "282" ]
[ "nonn", "easy", "nice" ]
40
1
1
[ "A005523", "A005525" ]
[ "M4067" ]
N. J. A. Sloane
2024-05-02T04:31:53
oeisdata/seq/A005/A005525.seq
cd43efd6cd1e21a9edf2bb1c6354ba60
A005526
Maximal number of rational points that a (smooth, geometrically irreducible) curve of genus 3 over the finite field GF(q) can have, where q is the n-th prime power >= 2.
[ "7", "10", "14", "16", "20", "24", "28", "28", "32", "38", "40", "44", "48", "56", "56", "60", "62", "64", "72", "78", "80", "87", "92", "96", "102", "107", "113", "116", "120", "122", "131", "136", "136", "144", "155" ]
[ "nonn", "more" ]
19
1
1
[ "A005526", "A080205" ]
[ "M4338" ]
N. J. A. Sloane.
2024-05-02T04:31:48
oeisdata/seq/A005/A005526.seq
80d2c1e7a78ca3bca89a9389799d3d95
A005527
Maximal number of rational points on a curve of genus n over GF(2).
[ "3", "5", "6", "7", "8", "9", "10", "10", "11", "12", "13", "14" ]
[ "nonn", "more" ]
25
0
1
null
[ "M2388" ]
N. J. A. Sloane.
2024-05-02T04:31:40
oeisdata/seq/A005/A005527.seq
46a97a978a70702e9258be1c467cbc3b
A005528
Størmer numbers or arc-cotangent irreducible numbers: numbers k such that the largest prime factor of k^2 + 1 is >= 2*k.
[ "1", "2", "4", "5", "6", "9", "10", "11", "12", "14", "15", "16", "19", "20", "22", "23", "24", "25", "26", "27", "28", "29", "33", "34", "35", "36", "37", "39", "40", "42", "44", "45", "48", "49", "51", "52", "53", "54", "56", "58", "59", "60", "61", "62", "63", "64", "65", "66", "67", "69", "71", "74", "77", "78", "79", "80", "81", "82", "84", "85", "86", "87", "88", "89", "90", "92", "94", "95", "96" ]
[ "nonn", "nice", "easy" ]
53
1
2
[ "A002312", "A005528", "A006530", "A084925" ]
[ "M0950" ]
N. J. A. Sloane and J. H. Conway
2025-02-16T08:32:29
oeisdata/seq/A005/A005528.seq
7206fba45fc5a2aca2194e10b78d3ab2
A005529
Primitive prime factors of the sequence k^2 + 1 (A002522) in the order that they are found.
[ "2", "5", "17", "13", "37", "41", "101", "61", "29", "197", "113", "257", "181", "401", "97", "53", "577", "313", "677", "73", "157", "421", "109", "89", "613", "1297", "137", "761", "1601", "353", "149", "1013", "461", "1201", "1301", "541", "281", "2917", "3137", "673", "1741", "277", "1861", "769", "397", "241", "2113", "4357", "449", "2381", "2521", "5477" ]
[ "nonn", "changed" ]
31
1
1
[ "A002312", "A002313", "A002522", "A005528", "A005529" ]
[ "M1505" ]
N. J. A. Sloane.
2025-04-27T08:02:11
oeisdata/seq/A005/A005529.seq
702597df5c67ce873ab0754ea9f85a93
A005530
Number of Boolean functions of n variables from Post class F(8,inf); number of degenerate Boolean functions of n variables.
[ "2", "6", "38", "942", "325262", "25768825638", "129127208425774833206", "2722258935367507707190488025630791841374" ]
[ "nonn", "easy", "nice" ]
48
1
1
[ "A000371", "A005530", "A036239", "A036240" ]
[ "M1711" ]
N. J. A. Sloane, R. K. Guy
2017-10-07T02:58:37
oeisdata/seq/A005/A005530.seq
08e92ee28017c4b7ec17a166835fd7c3
A005531
Decimal expansion of fifth root of 2.
[ "1", "1", "4", "8", "6", "9", "8", "3", "5", "4", "9", "9", "7", "0", "3", "5", "0", "0", "6", "7", "9", "8", "6", "2", "6", "9", "4", "6", "7", "7", "7", "9", "2", "7", "5", "8", "9", "4", "4", "3", "8", "5", "0", "8", "8", "9", "0", "9", "7", "7", "9", "7", "5", "0", "5", "5", "1", "3", "7", "1", "1", "1", "1", "8", "4", "9", "3", "6", "0", "3", "2", "0", "6", "2", "5", "3", "5", "1", "3", "0", "5", "6", "8", "1", "1", "4", "7", "3", "1", "1", "3", "0", "1", "1", "5", "0", "8", "4", "7", "3", "9", "1", "4", "5", "7" ]
[ "nonn", "cons" ]
59
1
3
[ "A001622", "A002580", "A002950", "A005531", "A182007", "A188593" ]
[ "M3321" ]
N. J. A. Sloane
2025-02-05T11:22:53
oeisdata/seq/A005/A005531.seq
5281b13ae99e84aa12207c6a78dcd3c5
A005532
Decimal expansion of fifth root of 3.
[ "1", "2", "4", "5", "7", "3", "0", "9", "3", "9", "6", "1", "5", "5", "1", "7", "3", "2", "5", "9", "6", "6", "6", "8", "0", "3", "3", "6", "6", "4", "0", "3", "0", "5", "0", "8", "0", "9", "3", "9", "3", "0", "9", "9", "9", "3", "0", "6", "8", "7", "7", "9", "8", "1", "1", "0", "4", "6", "1", "7", "3", "0", "1", "4", "3", "6", "0", "7", "4", "6", "6", "5", "3", "7", "7", "5", "4", "9", "3", "5", "6", "6", "6", "0", "5", "8", "9", "5", "1", "4", "4", "5", "8", "8", "1", "2", "3", "4", "2", "5", "6", "5", "9", "0", "2" ]
[ "cons", "nonn" ]
35
1
2
[ "A003117", "A005532", "A246708" ]
[ "M0953" ]
N. J. A. Sloane
2025-02-11T14:41:55
oeisdata/seq/A005/A005532.seq
b16ce2f742a4d6342b6ac41a8e693b64
A005533
Decimal expansion of fifth root of 4.
[ "1", "3", "1", "9", "5", "0", "7", "9", "1", "0", "7", "7", "2", "8", "9", "4", "2", "5", "9", "3", "7", "4", "0", "0", "1", "9", "7", "1", "2", "2", "9", "6", "4", "0", "1", "3", "3", "0", "3", "3", "4", "6", "9", "0", "1", "3", "1", "9", "3", "4", "1", "8", "6", "8", "1", "5", "0", "5", "8", "0", "7", "7", "9", "5", "9", "8", "0", "5", "3", "5", "9", "8", "0", "8", "9", "3", "5", "2", "0", "8", "3", "0", "0", "5", "0", "3", "5" ]
[ "cons", "nonn" ]
33
1
2
[ "A000120", "A003118", "A005533" ]
[ "M2231" ]
N. J. A. Sloane
2024-02-04T03:23:45
oeisdata/seq/A005/A005533.seq
82af2f5fb44b8bb0be7c2954386cbf10
A005534
Decimal expansion of fifth root of 5.
[ "1", "3", "7", "9", "7", "2", "9", "6", "6", "1", "4", "6", "1", "2", "1", "4", "8", "3", "2", "3", "9", "0", "0", "6", "3", "4", "6", "4", "2", "1", "6", "0", "1", "7", "6", "9", "2", "8", "5", "5", "6", "4", "9", "8", "7", "7", "9", "7", "7", "6", "0", "6", "1", "2", "1", "7", "7", "2", "7", "3", "7", "6", "7", "4", "7", "9", "1", "5", "0", "6", "1", "8", "9", "4", "2", "1", "6", "3", "5", "8", "3", "3", "1", "5", "6", "5", "8" ]
[ "nonn", "cons" ]
36
1
2
[ "A002951", "A005534" ]
[ "M2615" ]
N. J. A. Sloane
2025-02-05T11:22:57
oeisdata/seq/A005/A005534.seq
753feb7ea624c75044f5a765ea4daaae
A005535
Number of semi-regular digraphs (with loops) on n unlabeled nodes with each node having out-degree 3.
[ "1", "19", "916", "91212", "12888450", "2411213698", "575737451509", "171049953499862", "61944438230597774", "26879022100485977540", "13773587720396658214925", "8231894671550187551622795", "5676740663627528580559535893", "4474748487205893704072253926113" ]
[ "nonn", "nice" ]
20
3
2
[ "A003286", "A005535", "A185193", "A259471" ]
[ "M5081" ]
N. J. A. Sloane
2022-07-20T07:26:08
oeisdata/seq/A005/A005535.seq
766cb54b9c7f1af5b559cb26d0795985
A005536
a(0) = 0; thereafter a(2n) = n - a(n) - a(n-1), a(2n+1) = n - 2a(n) + 1.
[ "0", "1", "0", "0", "1", "3", "3", "4", "3", "3", "1", "0", "0", "1", "0", "0", "1", "3", "3", "4", "6", "9", "10", "12", "12", "13", "12", "12", "13", "15", "15", "16", "15", "15", "13", "12", "12", "13", "12", "12", "10", "9", "6", "4", "3", "3", "1", "0", "0", "1", "0", "0", "1", "3", "3", "4", "3", "3", "1", "0", "0", "1", "0", "0", "1", "3", "3", "4", "6", "9", "10", "12", "12", "13", "12", "12", "13", "15", "15", "16", "18", "21", "22", "24", "27", "31", "33" ]
[ "nonn", "look" ]
67
0
6
[ "A005536", "A071992", "A073059" ]
[ "M2274" ]
N. J. A. Sloane
2024-07-19T08:48:26
oeisdata/seq/A005/A005536.seq
a87a9676d32d682f603ce1a39ae872be
A005537
Numbers m such that 4*3^m + 1 is prime.
[ "0", "1", "2", "3", "6", "14", "15", "39", "201", "249", "885", "1005", "1254", "1635", "3306", "3522", "9602", "19785", "72698", "233583", "328689", "537918", "887535", "980925", "1154598", "1499606", "1936890", "2016951", "2143374" ]
[ "nonn", "more" ]
78
1
3
[ "A005537", "A005540", "A125734" ]
[ "M0803" ]
N. J. A. Sloane, Chris K. Caldwell
2024-09-12T11:30:08
oeisdata/seq/A005/A005537.seq
f112774b77e87eb8fe4df3f49d670b72
A005538
Numbers n such that 8*3^n + 1 is prime.
[ "2", "7", "8", "10", "22", "52", "58", "76", "130", "143", "331", "332", "980", "1282", "1655", "4031", "4600", "18880", "89482", "130592", "323860", "872171", "1172480" ]
[ "nonn", "hard" ]
67
1
1
[ "A005538", "A056799" ]
[ "M1729" ]
N. J. A. Sloane
2020-07-06T06:05:01
oeisdata/seq/A005/A005538.seq
4558747f85c81bd4a1a335a0ea007a74
A005539
Numbers k such that 10*3^k + 1 is prime.
[ "0", "1", "3", "4", "7", "9", "12", "18", "22", "102", "112", "157", "162", "289", "619", "763", "1389", "1783", "1882", "3294", "3567", "13297", "14932", "18954", "19612", "23598", "33882", "66874", "70546", "86568", "187626", "190738" ]
[ "hard", "nonn" ]
33
1
3
null
[ "M2337" ]
N. J. A. Sloane
2022-09-08T08:44:33
oeisdata/seq/A005/A005539.seq
a4fed439e63b42431d0bd7a8b875e19d
A005540
Numbers k such that 4*3^k - 1 is prime.
[ "0", "1", "3", "5", "7", "15", "45", "95", "235", "463", "733", "1437", "1583", "1677", "1803", "4163", "4765", "9219", "9959", "25477", "26059", "41539", "54195", "65057", "74977", "116589", "192289", "311835", "350767", "353635", "416337", "423253" ]
[ "nonn", "hard" ]
31
1
3
null
[ "M2422" ]
N. J. A. Sloane
2018-07-15T12:04:43
oeisdata/seq/A005/A005540.seq
80b8c7b6958822dc795bdefbfe8fb075
A005541
Numbers k such that 8*3^k - 1 is prime.
[ "0", "1", "2", "4", "10", "17", "50", "170", "184", "194", "209", "641", "1298", "4034", "5956", "7154", "9970", "35956", "42730", "132004", "190610" ]
[ "nonn", "hard" ]
41
1
3
[ "A001771", "A002235", "A003307", "A005541", "A046865", "A046866", "A046867", "A056725", "A079906", "A079907" ]
[ "M1200" ]
N. J. A. Sloane
2020-08-01T11:17:19
oeisdata/seq/A005/A005541.seq
39e5f6f61414d1156dfabe5a2dc66129
A005542
Numbers k such that 10*3^k - 1 is prime.
[ "1", "2", "3", "4", "8", "10", "14", "20", "22", "26", "30", "38", "39", "49", "54", "58", "70", "81", "84", "87", "102", "111", "140", "159", "207", "224", "328", "358", "360", "447", "484", "908", "1083", "1242", "1461", "1705", "4624", "5199", "7106", "8667", "11157", "13130", "28052", "30483", "32166", "34447", "36986", "86578", "89940", "120433", "140743", "147308", "159276", "165543", "234843", "437338" ]
[ "hard", "nonn" ]
35
1
2
null
[ "M0589" ]
N. J. A. Sloane
2024-10-27T09:27:30
oeisdata/seq/A005/A005542.seq
43efd7c9a35e7c37ae8e856e84248b4e
A005543
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,2,2).
[ "1", "12", "114", "940", "7568", "61728", "512996", "4334884", "37164700", "322624804", "2830973320", "25074130996", "223900666504", "2013718244072" ]
[ "nonn", "walk" ]
23
2
2
[ "A003287", "A003288", "A005543", "A005544", "A005545", "A005546", "A005547", "A005548" ]
[ "M4859" ]
N. J. A. Sloane
2021-12-26T21:19:43
oeisdata/seq/A005/A005543.seq
efd551f2c3c2ead012d35c8867d69703
A005544
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,1,2).
[ "2", "18", "136", "1030", "7992", "63796", "522474", "4369840", "37179840", "320861342", "2802304988", "24725041598", "220077128644", "1973963065574" ]
[ "nonn", "walk" ]
23
2
1
[ "A003287", "A003288", "A005543", "A005544", "A005545", "A005546", "A005547", "A005548" ]
[ "M2108" ]
N. J. A. Sloane
2021-12-26T21:19:51
oeisdata/seq/A005/A005544.seq
a176e83dfcffc6118bd05cad74c119cf
A005545
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,1,3).
[ "9", "96", "835", "7020", "58857", "497360", "4251804", "36765592", "321262541", "2833702404", "25204186455", "225846648440" ]
[ "nonn", "walk" ]
19
3
1
[ "A003287", "A003288", "A005543", "A005544", "A005545", "A005546", "A005547", "A005548" ]
[ "M4658" ]
N. J. A. Sloane.
2016-02-17T15:26:06
oeisdata/seq/A005/A005545.seq
a44a4c2cabfca0965e168bb88b3b8133
A005546
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,3,3).
[ "1", "24", "360", "4000", "39330", "367912", "3370604", "30630980", "277824572", "2522478772", "22959239730", "209629138108", "1920548559328" ]
[ "nonn", "walk" ]
23
3
2
[ "A003287", "A003288", "A005543", "A005544", "A005545", "A005546", "A005547", "A005548" ]
[ "M5161" ]
N. J. A. Sloane
2021-12-26T21:20:00
oeisdata/seq/A005/A005546.seq
a61111cc6f16af61aca1dd221d5d886e
A005547
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,2,3).
[ "3", "52", "575", "5470", "49303", "436446", "3850752", "34063392", "302790797", "2706629188", "24332099665", "219940720414" ]
[ "nonn", "walk" ]
21
3
1
[ "A003287", "A003288", "A005543", "A005544", "A005545", "A005546", "A005547", "A005548" ]
[ "M3158" ]
N. J. A. Sloane
2022-11-06T19:34:35
oeisdata/seq/A005/A005547.seq
e6c238814317f9820c907280fc6e1d30
A005548
Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (2,2,2).
[ "6", "72", "690", "6192", "53946", "466800", "4053816", "35450940", "312411672", "2773863060", "24802293720", "223203954264", "2020552369164" ]
[ "nonn", "walk" ]
24
3
1
[ "A003287", "A003288", "A005543", "A005544", "A005545", "A005546", "A005547", "A005548" ]
[ "M4277" ]
N. J. A. Sloane
2021-12-26T21:20:08
oeisdata/seq/A005/A005548.seq
ba94067fbff3cfbf882f21158e045084
A005549
Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,3).
[ "1", "12", "54", "188", "636", "2168", "7556", "26826", "96724", "353390", "1305126", "4864450", "18272804", "69103526", "262871644", "1005137688", "3860909698", "14890903690", "57641869140", "223864731680", "872028568182", "3406103773674", "13337263822236" ]
[ "nonn", "walk", "more" ]
23
3
2
[ "A001335", "A003289", "A003290", "A003291", "A005549", "A005550", "A005551", "A005552", "A005553" ]
[ "M4842" ]
N. J. A. Sloane
2021-12-26T21:20:30
oeisdata/seq/A005/A005549.seq
c6f9c8df239e8194c6247d60c8f8011a
A005550
Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,2).
[ "3", "16", "57", "184", "601", "2036", "7072", "25088", "90503", "330836", "1222783", "4561058", "17145990", "64888020", "246995400", "944986464", "3631770111", "14013725268", "54268946152", "210842757798", "821569514032", "3209925357702", "12572219405144" ]
[ "nonn", "walk", "more" ]
22
3
1
[ "A001335", "A003289", "A003290", "A003291", "A005549", "A005550", "A005551", "A005552", "A005553" ]
[ "M3012" ]
N. J. A. Sloane
2021-12-26T21:20:38
oeisdata/seq/A005/A005550.seq
50a81e42520c07099bb78fbb3c149a8e
A005551
Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,4).
[ "1", "20", "130", "576", "2218", "8170", "29830", "109192", "402258", "1492746", "5578742", "20986424", "79420122", "302175648", "1155298598", "4436375790", "17103294308", "66174208076", "256870951048", "1000080994758", "3904276709604", "15280413966512" ]
[ "nonn", "walk", "more" ]
22
4
2
[ "A001335", "A003289", "A003290", "A003291", "A005549", "A005550", "A005551", "A005552", "A005553" ]
[ "M5090" ]
N. J. A. Sloane
2021-12-26T21:20:45
oeisdata/seq/A005/A005551.seq
681bce853bc823aa16416782e5e08c87
A005552
Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,3).
[ "4", "35", "166", "633", "2276", "8107", "29086", "105460", "386320", "1428664", "5327738", "20014741", "75677726", "287784832", "1099944240", "4223170456", "16280541834", "62992268833", "244536402984", "952154191644", "3717618386556", "14551788319328" ]
[ "nonn", "walk", "more" ]
22
4
1
[ "A001335", "A003289", "A003290", "A003291", "A005549", "A005550", "A005551", "A005552", "A005553" ]
[ "M3657" ]
N. J. A. Sloane
2021-12-26T21:20:54
oeisdata/seq/A005/A005552.seq
b0f2bbc5524641de3259178a2f44b57a
A005553
Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (2,2).
[ "6", "40", "174", "644", "2268", "8020", "28666", "103696", "379450", "1402276", "5227366", "19633732", "74230146", "282273744", "1078902168", "4142578832", "15970882784", "61798680076", "239921541412", "934258870200", "3648030627298", "14280474288676" ]
[ "nonn", "walk", "more" ]
23
4
1
[ "A001335", "A003289", "A003290", "A003291", "A005549", "A005550", "A005551", "A005552", "A005553" ]
[ "M4235" ]
N. J. A. Sloane
2021-12-26T21:21:06
oeisdata/seq/A005/A005553.seq
70a87cf654976433724a1e52afa7a0de
A005554
Sums of successive Motzkin numbers.
[ "1", "2", "3", "6", "13", "30", "72", "178", "450", "1158", "3023", "7986", "21309", "57346", "155469", "424206", "1164039", "3210246", "8893161", "24735666", "69051303", "193399578", "543310782", "1530523638", "4322488212", "12236130298", "34713220977", "98677591278" ]
[ "nonn" ]
66
1
2
[ "A001006", "A005554", "A014138", "A059346", "A080981", "A102071" ]
[ "M0801" ]
N. J. A. Sloane
2025-01-19T16:17:34
oeisdata/seq/A005/A005554.seq
7f794b80fee585f52c5ab6ef70b404b3
A005555
A finite sequence associated with the Lie algebra E_8.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "20", "21", "22", "24", "25", "28", "29", "30", "31", "32", "34", "35", "36", "37", "38", "39", "40", "56", "57", "60", "61", "62", "63", "64", "70", "84", "85", "88", "110", "111", "112", "120", "156", "157", "159", "160", "166", "182", "184", "231", "232", "280", "399", "400", "520", "760", "1240" ]
[ "nonn", "fini", "full" ]
31
0
2
null
null
N. J. A. Sloane
2022-04-13T13:25:17
oeisdata/seq/A005/A005555.seq
fcf0bb577b5013301eea25a2fb9c46dc
A005556
Exponents m_i associated with Weyl group W(E6).
[ "1", "4", "5", "7", "8", "11" ]
[ "nonn", "fini", "full" ]
20
1
2
null
null
N. J. A. Sloane
2022-09-08T08:44:33
oeisdata/seq/A005/A005556.seq
18a1e1b2c9775a4f196d7c76142ffc1a
A005557
Number of walks on square lattice.
[ "42", "132", "297", "572", "1001", "1638", "2548", "3808", "5508", "7752", "10659", "14364", "19019", "24794", "31878", "40480", "50830", "63180", "77805", "95004", "115101", "138446", "165416", "196416", "231880", "272272", "318087", "369852", "428127", "493506", "566618", "648128", "738738", "839188", "950257", "1072764" ]
[ "nonn", "walk", "easy" ]
71
0
1
[ "A005557", "A009766", "A033184", "A062991", "A214292" ]
[ "M5277" ]
N. J. A. Sloane
2024-02-22T19:15:28
oeisdata/seq/A005/A005557.seq
043ed1c229fc7b2c96cac594279707ba
A005558
a(n) is the number of n-step walks on square lattice such that 0 <= y <= x at each step.
[ "1", "1", "3", "6", "20", "50", "175", "490", "1764", "5292", "19404", "60984", "226512", "736164", "2760615", "9202050", "34763300", "118195220", "449141836", "1551580888", "5924217936", "20734762776", "79483257308", "281248448936", "1081724803600", "3863302870000", "14901311070000", "53644719852000" ]
[ "nonn", "walk", "changed" ]
167
0
3
[ "A000108", "A000888", "A000891", "A005558", "A005559", "A005560", "A005561", "A005562", "A005817", "A052174", "A093768", "A138350" ]
[ "M2598" ]
N. J. A. Sloane
2025-04-19T03:24:31
oeisdata/seq/A005/A005558.seq
a0983a72fd77c0a8430892295b336734
A005559
Number of walks on square lattice. Column y=1 of A052174.
[ "1", "2", "8", "20", "75", "210", "784", "2352", "8820", "27720", "104544", "339768", "1288287", "4294290", "16359200", "55621280", "212751396", "734959368", "2821056160", "9873696560", "38013731756", "134510127752", "519227905728", "1854385377600", "7174705330000", "25828939188000", "100136810390400" ]
[ "nonn", "walk" ]
60
1
2
[ "A005558", "A005559", "A005560", "A052174", "A093768" ]
[ "M1832" ]
N. J. A. Sloane
2025-02-03T11:54:15
oeisdata/seq/A005/A005559.seq
38b7e324dbeca49dc5e2ff8e43c2b691
A005560
Number of walks on square lattice. Column y=2 of A052174.
[ "1", "3", "15", "45", "189", "588", "2352", "7560", "29700", "98010", "382239", "1288287", "5010005", "17177160", "66745536", "232092432", "901995588", "3173688180", "12342120700", "43861998180", "170724392916", "611947174608", "2384209771200", "8609646396000", "33577620944400", "122041737663300", "476432168185575" ]
[ "nonn", "walk" ]
39
2
2
[ "A005558", "A005559", "A005560", "A005561", "A005562", "A052174", "A093768" ]
[ "M2987" ]
N. J. A. Sloane
2025-02-03T11:53:57
oeisdata/seq/A005/A005560.seq
51914aa5517b01a8c75fb713c8fda1c3
A005561
Number of walks on square lattice. Column y=3 of A052174.
[ "1", "4", "24", "84", "392", "1344", "5760", "19800", "81675", "283140", "1145144", "4008004", "16032016", "56632576", "225059328", "801773856", "3173688180", "11392726800", "44986664800", "162594659920", "641087516256", "2331227331840", "9183622822400", "33577620944400", "132211882468575", "485773975404900" ]
[ "nonn", "walk" ]
39
3
2
[ "A005558", "A005559", "A005560", "A005561", "A005562", "A052174", "A093768" ]
[ "M3596" ]
N. J. A. Sloane
2025-02-03T11:54:04
oeisdata/seq/A005/A005561.seq
a68b93098b01086bff15b313ff8d3661
A005562
Number of walks on square lattice. Column y=4 of A052174.
[ "1", "5", "35", "140", "720", "2700", "12375", "45375", "196625", "715715", "3006003", "10930920", "45048640", "164105760", "668144880", "2441298600", "9859090500", "36149998500", "145173803500", "534239596880", "2136958387520", "7892175863000", "31479019635375", "116657543354625", "464342770607625", "1726402608669375" ]
[ "nonn", "walk" ]
49
4
2
[ "A005558", "A005559", "A005560", "A005561", "A005562", "A052174", "A093768" ]
[ "M3974" ]
N. J. A. Sloane
2025-02-03T11:54:10
oeisdata/seq/A005/A005562.seq
239d18dda585628b345269592cda740e
A005563
a(n) = n*(n+2) = (n+1)^2 - 1.
[ "0", "3", "8", "15", "24", "35", "48", "63", "80", "99", "120", "143", "168", "195", "224", "255", "288", "323", "360", "399", "440", "483", "528", "575", "624", "675", "728", "783", "840", "899", "960", "1023", "1088", "1155", "1224", "1295", "1368", "1443", "1520", "1599", "1680", "1763", "1848", "1935", "2024", "2115", "2208", "2303", "2400", "2499", "2600" ]
[ "nonn", "easy" ]
527
0
2
[ "A000035", "A000217", "A000290", "A000466", "A001651", "A002378", "A005563", "A007531", "A008585", "A008833", "A013468", "A016742", "A019973", "A028560", "A033996", "A046092", "A053186", "A054000", "A055881", "A056108", "A062196", "A067725", "A067728", "A067998", "A068310", "A069817", "A079978", "A080956", "A085692", "A102537", "A120070", "A120072", "A123865", "A123866", "A123867", "A123868", "A134582", "A140091", "A140681", "A143053", "A144396", "A156035", "A163280", "A212331", "A253607", "A367204" ]
[ "M2720" ]
N. J. A. Sloane
2025-04-02T05:13:08
oeisdata/seq/A005/A005563.seq
e81ba6aa611fcc5080ff27c6ef531be7
A005564
Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.
[ "6", "20", "45", "84", "140", "216", "315", "440", "594", "780", "1001", "1260", "1560", "1904", "2295", "2736", "3230", "3780", "4389", "5060", "5796", "6600", "7475", "8424", "9450", "10556", "11745", "13020", "14384", "15840", "17391", "19040", "20790", "22644", "24605", "26676", "28860", "31160", "33579", "36120", "38786", "41580", "44505" ]
[ "nonn", "walk", "easy" ]
128
3
1
[ "A000217", "A001701", "A005564", "A093768" ]
[ "M4134" ]
N. J. A. Sloane
2022-09-08T08:44:33
oeisdata/seq/A005/A005564.seq
28eee319f137a9826b3961469dec4aaa
A005565
Number of walks on square lattice.
[ "20", "75", "189", "392", "720", "1215", "1925", "2904", "4212", "5915", "8085", "10800", "14144", "18207", "23085", "28880", "35700", "43659", "52877", "63480", "75600", "89375", "104949", "122472", "142100", "163995", "188325", "215264", "244992", "277695", "313565", "352800", "395604", "442187", "492765", "547560", "606800" ]
[ "nonn", "walk", "easy" ]
60
0
1
null
[ "M5087" ]
N. J. A. Sloane
2022-09-08T08:44:33
oeisdata/seq/A005/A005565.seq
cf5816e66eae229bccd666b4f72a8e17
A005566
Number of walks of length n on square lattice, starting at origin, staying in first quadrant.
[ "1", "2", "6", "18", "60", "200", "700", "2450", "8820", "31752", "116424", "426888", "1585584", "5889312", "22084920", "82818450", "312869700", "1181952200", "4491418360", "17067389768", "65166397296", "248817153312", "953799087696", "3656229836168", "14062422446800", "54086240180000", "208618354980000" ]
[ "nonn", "walk", "changed" ]
91
0
2
[ "A000894", "A001700", "A005566", "A060150", "A060897", "A060900" ]
[ "M1627" ]
N. J. A. Sloane
2025-04-19T04:29:20
oeisdata/seq/A005/A005566.seq
6f51a0817fdf34276f4f1ac37012961b
A005567
Number of walks on square lattice.
[ "10", "70", "308", "1092", "3414", "9834", "26752", "69784", "176306", "434382", "1048812", "2490636", "5833006", "13500754", "30933368", "70255008", "158335434", "354419190", "788529700", "1744831060", "3841983110", "8422163130", "18387829488" ]
[ "nonn", "walk", "easy" ]
41
0
1
null
[ "M4723" ]
N. J. A. Sloane
2022-04-13T13:25:17
oeisdata/seq/A005/A005567.seq
9b898bdaeb83b31ca96fed9348f6dc43
A005568
Product of two successive Catalan numbers C(n)*C(n+1).
[ "1", "2", "10", "70", "588", "5544", "56628", "613470", "6952660", "81662152", "987369656", "12228193432", "154532114800", "1986841476000", "25928281261800", "342787130211150", "4583937702039300", "61923368957373000", "844113292629453000", "11600528392993339800", "160599522947154548400", "2238236829690383152800" ]
[ "nonn", "easy" ]
189
0
2
[ "A000108", "A000356", "A004304", "A005568", "A005817", "A168450", "A168451", "A168452" ]
[ "M1972" ]
R. K. Guy, Simon Plouffe and N. J. A. Sloane
2024-05-03T17:11:54
oeisdata/seq/A005/A005568.seq
9e204b2954dd4ff570637e618f384850
A005569
Number of walks on square lattice.
[ "4", "34", "308", "3024", "31680", "349206", "4008004", "47530912", "579058896", "7215393640", "91644262864", "1183274479040", "15497363512800", "205519758825150", "2755739674246500", "37314861293793600", "509727100259638800" ]
[ "nonn", "walk", "easy" ]
32
1
1
null
[ "M3654" ]
N. J. A. Sloane
2018-04-11T02:56:29
oeisdata/seq/A005/A005569.seq
537db6d58ed7278201871a3de4ac662b
A005570
Number of walks on cubic lattice.
[ "17", "50", "99", "164", "245", "342", "455", "584", "729", "890", "1067", "1260", "1469", "1694", "1935", "2192", "2465", "2754", "3059", "3380", "3717", "4070", "4439", "4824", "5225", "5642", "6075", "6524", "6989", "7470", "7967", "8480", "9009", "9554", "10115", "10692", "11285", "11894", "12519", "13160", "13817", "14490", "15179", "15884", "16605" ]
[ "nonn", "walk", "easy" ]
72
1
1
[ "A000217", "A001620", "A005570", "A158057", "A250129" ]
[ "M5038" ]
N. J. A. Sloane
2025-01-28T15:28:27
oeisdata/seq/A005/A005570.seq
0a1ec400df24b553da44fe7b1f2da36e
A005571
Number of walks on cubic lattice.
[ "76", "288", "700", "1376", "2380", "3776", "5628", "8000", "10956", "14560", "18876", "23968", "29900", "36736", "44540", "53376", "63308", "74400", "86716", "100320", "115276", "131648", "149500", "168896", "189900", "212576", "236988", "263200", "291276", "321280", "353276", "387328", "423500", "461856", "502460", "545376" ]
[ "nonn", "walk", "easy" ]
47
0
1
null
[ "M5352" ]
N. J. A. Sloane
2022-09-10T07:34:44
oeisdata/seq/A005/A005571.seq
98bf6a156b1e542984071fab80d8995e
A005572
Number of walks on cubic lattice starting and finishing on the xy plane and never going below it.
[ "1", "4", "17", "76", "354", "1704", "8421", "42508", "218318", "1137400", "5996938", "31940792", "171605956", "928931280", "5061593709", "27739833228", "152809506582", "845646470616", "4699126915422", "26209721959656", "146681521121244", "823429928805936" ]
[ "nonn", "walk", "easy", "nice" ]
204
0
2
[ "A001006", "A002212", "A005572", "A025228", "A025230", "A108198", "A129400", "A182401" ]
[ "M3539" ]
N. J. A. Sloane
2025-01-19T14:42:45
oeisdata/seq/A005/A005572.seq
52efc667bd03325d5029d5fe9111d109
A005573
Number of walks on cubic lattice (starting from origin and not going below xy plane).
[ "1", "5", "26", "139", "758", "4194", "23460", "132339", "751526", "4290838", "24607628", "141648830", "817952188", "4736107172", "27487711752", "159864676803", "931448227590", "5435879858958", "31769632683132", "185918669183370", "1089302293140564" ]
[ "nonn", "walk", "easy", "nice" ]
96
0
2
null
[ "M3943" ]
N. J. A. Sloane
2025-01-19T14:42:05
oeisdata/seq/A005/A005573.seq
7e64cc69fe7b38dfd98057583874e69b
A005574
Numbers k such that k^2 + 1 is prime.
[ "1", "2", "4", "6", "10", "14", "16", "20", "24", "26", "36", "40", "54", "56", "66", "74", "84", "90", "94", "110", "116", "120", "124", "126", "130", "134", "146", "150", "156", "160", "170", "176", "180", "184", "204", "206", "210", "224", "230", "236", "240", "250", "256", "260", "264", "270", "280", "284", "300", "306", "314", "326", "340", "350", "384", "386", "396" ]
[ "nonn", "easy", "nice", "changed" ]
136
1
2
[ "A000068", "A001912", "A002496", "A002522", "A005574", "A006313", "A006314", "A006315", "A006316", "A007591", "A010051", "A049422", "A056994", "A056995", "A057002", "A057465", "A062325", "A067201", "A078402", "A088361", "A088362", "A090693", "A114269", "A114270", "A114271", "A114272", "A114273", "A114274", "A114275", "A226528", "A226529", "A226530", "A243959", "A244150", "A251597", "A253854", "A259645", "A295405", "A321323" ]
[ "M1010" ]
N. J. A. Sloane
2025-04-23T23:32:42
oeisdata/seq/A005/A005574.seq
64331fc3fbdb283a77137b118008dd7c
A005575
a(n) = A259095(2n,n).
[ "0", "0", "1", "2", "5", "11", "20", "37", "63", "110", "174", "283", "435", "671", "1001", "1492", "2160", "3127", "4442", "6269", "8739", "12109", "16597", "22618", "30576", "41077", "54834", "72788", "96056", "126131", "164829", "214327", "277534", "357810", "459507", "587779", "749220", "951473", "1204501", "1519691", "1911618", "2397247", "2997985", "3738482", "4649981", "5768457", "7138640", "8812704", "10854735", "13339286" ]
[ "nonn", "nice" ]
33
1
4
[ "A005575", "A005576", "A005577", "A259095" ]
[ "M1390" ]
N. J. A. Sloane, R. K. Guy
2016-07-28T05:23:10
oeisdata/seq/A005/A005575.seq
14c0a0390de1475b922f985fb7791eb0
A005576
The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r.
[ "1", "1", "2", "3", "4", "7", "9", "13", "17", "25", "32", "43", "56", "73", "95", "122", "155", "196", "248", "309", "388", "480", "595", "731", "899", "1096", "1338", "1624", "1967", "2373", "2860", "3431", "4111", "4911", "5853", "6963", "8263", "9785", "11565", "13646", "16064", "18884", "22155", "25953", "30349", "35441", "41311", "48098", "55906", "64900", "75231", "87103", "100702", "116296", "134130", "154522" ]
[ "nonn", "nice" ]
45
0
3
[ "A005575", "A005576", "A005577", "A259095" ]
[ "M0583" ]
N. J. A. Sloane, R. K. Guy
2023-10-29T21:12:01
oeisdata/seq/A005/A005576.seq
69cb7b98d4ab82bfc35ca60636b09cc5
A005577
Maxima of the rows of the triangle A259095.
[ "1", "1", "1", "2", "3", "4", "5", "6", "7", "9", "11", "15", "20", "27", "35", "44", "56", "73", "91", "115", "148", "186", "227", "283", "358", "435", "538", "671", "813", "1001", "1233", "1492", "1815", "2223", "2673", "3247", "3933", "4713", "5683", "6850", "8170", "9785", "11725", "13948", "16587", "19783", "23468", "27710", "32942", "38956", "45852", "54133", "63879", "75000", "87909", "103471", "121273", "141629" ]
[ "nonn", "nice" ]
41
1
4
[ "A005575", "A005576", "A005577", "A259095" ]
[ "M0495" ]
N. J. A. Sloane, R. K. Guy
2023-10-29T21:12:26
oeisdata/seq/A005/A005577.seq
ae26ea42d8dc33b21177c386ff6f1495
A005578
a(2*n) = 2*a(2*n-1), a(2*n+1) = 2*a(2*n)-1.
[ "1", "1", "2", "3", "6", "11", "22", "43", "86", "171", "342", "683", "1366", "2731", "5462", "10923", "21846", "43691", "87382", "174763", "349526", "699051", "1398102", "2796203", "5592406", "11184811", "22369622", "44739243", "89478486", "178956971", "357913942", "715827883", "1431655766", "2863311531", "5726623062", "11453246123" ]
[ "easy", "nonn" ]
215
0
3
[ "A000975", "A001045", "A005578", "A006356", "A007583", "A047849", "A071922", "A072176", "A129761", "A135229" ]
[ "M0788" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A005/A005578.seq
b890a81bc1374c13ecd44e5b075d67a8
A005579
a(n) = smallest number k such that Product_{i=1..k} prime(i)/(prime(i)-1) > n.
[ "0", "1", "2", "3", "4", "6", "9", "14", "22", "35", "55", "89", "142", "230", "373", "609", "996", "1637", "2698", "4461", "7398", "12301", "20503", "34253", "57348", "96198", "161659", "272124", "458789", "774616", "1309627", "2216968", "3757384", "6375166", "10828012", "18409028", "31326514", "53354259", "90945529", "155142139" ]
[ "nonn", "changed" ]
61
0
3
[ "A000720", "A001611", "A005579", "A005580", "A023199", "A038110", "A060753", "A072986", "A091440", "A256968" ]
[ "M0573" ]
N. J. A. Sloane, R. K. Guy
2025-04-18T09:57:29
oeisdata/seq/A005/A005579.seq
0493202c722d2ee14b2ead45c93415af
A005580
a(n) = smallest number k such that Product_{i=2..k+1} prime(i)/(prime(i)-1) > n.
[ "0", "1", "3", "8", "21", "54", "141", "372", "995", "2697", "7397", "20502", "57347", "161658", "458788", "1309626", "3757383", "10828011", "31326513", "90945528" ]
[ "nonn", "more" ]
33
0
3
[ "A005579", "A005580" ]
[ "M2740" ]
N. J. A. Sloane.
2025-01-31T09:52:07
oeisdata/seq/A005/A005580.seq
4fe691f8db307b4280702ffc1565c1ff
A005581
a(n) = (n-1)*n*(n+4)/6.
[ "0", "0", "2", "7", "16", "30", "50", "77", "112", "156", "210", "275", "352", "442", "546", "665", "800", "952", "1122", "1311", "1520", "1750", "2002", "2277", "2576", "2900", "3250", "3627", "4032", "4466", "4930", "5425", "5952", "6512", "7106", "7735", "8400", "9102", "9842", "10621", "11440", "12300", "13202", "14147", "15136", "16170" ]
[ "nonn", "easy", "nice" ]
168
0
3
[ "A000211", "A000217", "A000292", "A005581", "A005582", "A005586", "A052928", "A111808", "A127672", "A128209", "A176222" ]
[ "M1744" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A005/A005581.seq
577dadd552797663159d3730fd3b21e1
A005582
a(n) = n*(n+1)*(n+2)*(n+7)/24.
[ "0", "2", "9", "25", "55", "105", "182", "294", "450", "660", "935", "1287", "1729", "2275", "2940", "3740", "4692", "5814", "7125", "8645", "10395", "12397", "14674", "17250", "20150", "23400", "27027", "31059", "35525", "40455", "45880", "51832", "58344", "65450", "73185", "81585", "90687", "100529", "111150", "122590", "134890" ]
[ "nonn", "easy" ]
108
0
2
[ "A000211", "A005581", "A005582", "A052928", "A128209", "A176222" ]
[ "M1922" ]
N. J. A. Sloane
2025-01-05T19:51:33
oeisdata/seq/A005/A005582.seq
0f931a71f83e02e64fb91dc78d0d7a8a
A005583
Coefficients of Chebyshev polynomials.
[ "2", "11", "36", "91", "196", "378", "672", "1122", "1782", "2717", "4004", "5733", "8008", "10948", "14688", "19380", "25194", "32319", "40964", "51359", "63756", "78430", "95680", "115830", "139230", "166257", "197316", "232841", "273296", "319176", "371008", "429352", "494802", "567987", "649572", "740259", "840788" ]
[ "nonn", "easy" ]
92
1
1
[ "A000096", "A000217", "A000389", "A005583", "A051747", "A127672", "A207606" ]
[ "M1999" ]
N. J. A. Sloane
2023-02-17T10:04:04
oeisdata/seq/A005/A005583.seq
0a365eb280330580d086d64188c0dff0
A005584
Coefficients of Chebyshev polynomials.
[ "2", "13", "49", "140", "336", "714", "1386", "2508", "4290", "7007", "11011", "16744", "24752", "35700", "50388", "69768", "94962", "127281", "168245", "219604", "283360", "361790", "457470", "573300", "712530", "878787", "1076103", "1308944", "1582240", "1901416", "2272424", "2701776", "3196578", "3764565", "4414137", "5154396" ]
[ "nonn", "easy" ]
69
1
1
[ "A005581", "A005582", "A005583", "A005584", "A127672" ]
[ "M2059" ]
N. J. A. Sloane
2023-02-17T08:15:26
oeisdata/seq/A005/A005584.seq
5f1c04b7bf041588c8d14446b1b91ea3
A005585
5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!.
[ "1", "7", "27", "77", "182", "378", "714", "1254", "2079", "3289", "5005", "7371", "10556", "14756", "20196", "27132", "35853", "46683", "59983", "76153", "95634", "118910", "146510", "179010", "217035", "261261", "312417", "371287", "438712", "515592", "602888", "701624", "812889", "937839", "1077699", "1233765", "1407406" ]
[ "nonn", "easy" ]
167
1
2
[ "A000389", "A002415", "A005585", "A006542", "A027800", "A034263", "A040977", "A047819", "A051836", "A051843", "A051877", "A051878", "A051879", "A053120", "A084960", "A111125" ]
[ "M4387" ]
N. J. A. Sloane
2025-01-07T15:56:17
oeisdata/seq/A005/A005585.seq
80e74b04c14d1288e879fdb0a05ee113
A005586
a(n) = n*(n+4)*(n+5)/6.
[ "0", "5", "14", "28", "48", "75", "110", "154", "208", "273", "350", "440", "544", "663", "798", "950", "1120", "1309", "1518", "1748", "2000", "2275", "2574", "2898", "3248", "3625", "4030", "4464", "4928", "5423", "5950", "6510", "7104", "7733", "8398", "9100", "9840", "10619", "11438", "12298", "13200", "14145", "15134", "16168", "17248" ]
[ "nonn", "easy" ]
83
0
2
[ "A000217", "A000292", "A005581", "A005586", "A009766", "A053121" ]
[ "M3841" ]
N. J. A. Sloane
2024-11-22T09:35:58
oeisdata/seq/A005/A005586.seq
38de44cdafbe18f6be6546c893ca7171
A005587
a(n) = n*(n+5)*(n+6)*(n+7)/24.
[ "0", "14", "42", "90", "165", "275", "429", "637", "910", "1260", "1700", "2244", "2907", "3705", "4655", "5775", "7084", "8602", "10350", "12350", "14625", "17199", "20097", "23345", "26970", "31000", "35464", "40392", "45815", "51765", "58275", "65379", "73112", "81510", "90610", "100450", "111069", "122507", "134805", "148005" ]
[ "nonn", "easy" ]
77
0
2
[ "A005587", "A009766", "A033184", "A062991" ]
[ "M4929" ]
N. J. A. Sloane
2024-11-22T09:15:22
oeisdata/seq/A005/A005587.seq
39c85a81bd4e8fe23c367aed8dc0281a
A005588
Number of free binary trees admitting height n.
[ "2", "7", "52", "2133", "2590407", "3374951541062", "5695183504479116640376509", "16217557574922386301420514191523784895639577710480", "131504586847961235687181874578063117114329409897550318273792033024340388219235081096658023517076950" ]
[ "nonn", "easy", "core", "nice" ]
68
1
1
[ "A002658", "A005588", "A006894" ]
[ "M1813" ]
N. J. A. Sloane; entry revised by N. J. A. Sloane, Aug 31 2012
2022-08-28T08:22:55
oeisdata/seq/A005/A005588.seq
5a5b8d8fb603e8bc6b5675d851eada95
A005589
Number of letters in the US English name of n, excluding spaces and hyphens.
[ "4", "3", "3", "5", "4", "4", "3", "5", "5", "4", "3", "6", "6", "8", "8", "7", "7", "9", "8", "8", "6", "9", "9", "11", "10", "10", "9", "11", "11", "10", "6", "9", "9", "11", "10", "10", "9", "11", "11", "10", "5", "8", "8", "10", "9", "9", "8", "10", "10", "9", "5", "8", "8", "10", "9", "9", "8", "10", "10", "9", "5", "8", "8", "10", "9", "9", "8", "10", "10", "9", "7", "10", "10", "12", "11", "11", "10", "12", "12", "11", "6", "9", "9", "11", "10", "10", "9", "11", "11", "10", "6", "9", "9", "11", "10", "10", "9", "11", "11", "10", "10", "13", "13", "15", "14", "14", "13", "15", "15", "14", "13", "16", "16", "18", "18", "17", "17", "19", "18", "18", "16" ]
[ "nonn", "word", "nice" ]
122
0
1
[ "A005589", "A006944", "A007208", "A016037", "A052360", "A052362", "A052363", "A133418", "A134629", "A362123" ]
[ "M2277" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A005/A005589.seq
f627efe68fb85506838a9410898e7146
A005590
a(0) = 0, a(1) = 1, a(2n) = a(n), a(2n+1) = a(n+1) - a(n).
[ "0", "1", "1", "0", "1", "-1", "0", "1", "1", "-2", "-1", "1", "0", "1", "1", "0", "1", "-3", "-2", "1", "-1", "2", "1", "-1", "0", "1", "1", "0", "1", "-1", "0", "1", "1", "-4", "-3", "1", "-2", "3", "1", "-2", "-1", "3", "2", "-1", "1", "-2", "-1", "1", "0", "1", "1", "0", "1", "-1", "0", "1", "1", "-2", "-1", "1", "0", "1", "1", "0", "1", "-5", "-4", "1", "-3", "4", "1", "-3", "-2", "5", "3", "-2", "1", "-3", "-2", "1", "-1", "4", "3", "-1", "2", "-3", "-1", "2", "1", "-3", "-2", "1", "-1", "2", "1", "-1", "0", "1", "1", "0", "1", "-1", "0", "1", "1" ]
[ "sign", "nice", "easy", "look" ]
96
0
10
[ "A002487", "A005590", "A182093" ]
[ "M0048" ]
N. J. A. Sloane
2025-03-28T17:32:25
oeisdata/seq/A005/A005590.seq
f2b8a0085a3bb45ae86fc4e78928b8b0
A005591
Number of semigroups of order n with 3 idempotents, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
[ "6", "44", "351", "3093", "33445", "600027", "68769167", "219587421825" ]
[ "nonn" ]
21
3
1
[ "A005591", "A058123" ]
[ "M4246" ]
N. J. A. Sloane
2018-11-08T14:39:36
oeisdata/seq/A005/A005591.seq
9f5f22145d1b438dbbb5e7b1337e9d95
A005592
a(n) = F(2n+1) + F(2n-1) - 1.
[ "1", "2", "6", "17", "46", "122", "321", "842", "2206", "5777", "15126", "39602", "103681", "271442", "710646", "1860497", "4870846", "12752042", "33385281", "87403802", "228826126", "599074577", "1568397606", "4106118242", "10749957121", "28143753122", "73681302246", "192900153617", "505019158606", "1322157322202" ]
[ "nonn", "easy", "nice" ]
125
0
2
[ "A000032", "A000045", "A002878", "A004146", "A005248", "A005592", "A014217", "A065034" ]
[ "M1619" ]
N. J. A. Sloane
2025-01-05T19:51:33
oeisdata/seq/A005/A005592.seq
3b318ca2be62781ef87708b4cc4b3381
A005593
a(n) = (F(2n+1) + F(2n-1) + F(n+3) - 2)/2, where F() = Fibonacci numbers A000045.
[ "2", "5", "12", "29", "71", "177", "448", "1147", "2960", "7679", "19989", "52145", "136214", "356121", "931540", "2437513", "6379403", "16698113", "43710756", "114427391", "299560472", "784236315", "2053119817", "5375076769", "14072035466", "36840908237", "96450492828", "252510252437" ]
[ "nonn", "easy" ]
27
1
1
null
[ "M1414" ]
N. J. A. Sloane
2022-04-13T13:25:17
oeisdata/seq/A005/A005593.seq
e8cd8112181aa42de6eacceb7b02ee37
A005594
States of a dynamic storage system.
[ "1", "2", "4", "7", "14", "26", "59", "122", "284", "647", "1528", "3602", "8679", "20882", "50824", "124055", "304574", "750122", "1855099", "4600202", "11442086", "28527447", "71292604", "178526882", "447919419", "1125750146", "2833906684", "7144450567", "18036423974" ]
[ "nonn" ]
29
0
2
[ "A005594", "A032198" ]
[ "M1080" ]
N. J. A. Sloane
2019-11-08T03:42:47
oeisdata/seq/A005/A005594.seq
496f4dadf13bc3e941eff08f5652e484
A005595
States of a dynamic storage system.
[ "1", "2", "4", "7", "13", "23", "46", "88", "186", "395", "880", "1989", "4644", "10934", "26210", "63319", "154377", "378443", "933022", "2308956", "5735371", "14286907", "35683814", "89324137", "224057918", "563033978", "1417210456", "3572641303", "9018885121", "22796905055", "57692673962", "146167385344", "370710166434" ]
[ "nonn" ]
28
0
2
null
[ "M1069" ]
N. J. A. Sloane
2018-06-21T03:05:47
oeisdata/seq/A005/A005595.seq
64d54130a7d3aa928321f6a9014047ad
A005596
Decimal expansion of Artin's constant Product_{p=prime} (1-1/(p^2-p)).
[ "3", "7", "3", "9", "5", "5", "8", "1", "3", "6", "1", "9", "2", "0", "2", "2", "8", "8", "0", "5", "4", "7", "2", "8", "0", "5", "4", "3", "4", "6", "4", "1", "6", "4", "1", "5", "1", "1", "1", "6", "2", "9", "2", "4", "8", "6", "0", "6", "1", "5", "0", "0", "4", "2", "0", "9", "4", "7", "4", "2", "8", "0", "2", "4", "1", "7", "3", "5", "0", "1", "8", "2", "0", "4", "0", "0", "2", "8", "0", "8", "2", "3", "4", "4", "3", "0", "4", "3", "1", "7", "0", "8", "7", "2", "5", "0", "5", "6", "8", "9", "8", "1", "6", "0", "3" ]
[ "nonn", "cons" ]
112
0
1
[ "A001122", "A001913", "A005596", "A048296", "A065414" ]
[ "M2608" ]
N. J. A. Sloane
2025-03-15T14:44:23
oeisdata/seq/A005/A005596.seq
99e37b104447e41f77dfd068b58a3abf
A005597
Decimal expansion of the twin prime constant C_2 = Product_{ p prime >= 3 } (1-1/(p-1)^2).
[ "6", "6", "0", "1", "6", "1", "8", "1", "5", "8", "4", "6", "8", "6", "9", "5", "7", "3", "9", "2", "7", "8", "1", "2", "1", "1", "0", "0", "1", "4", "5", "5", "5", "7", "7", "8", "4", "3", "2", "6", "2", "3", "3", "6", "0", "2", "8", "4", "7", "3", "3", "4", "1", "3", "3", "1", "9", "4", "4", "8", "4", "2", "3", "3", "3", "5", "4", "0", "5", "6", "4", "2", "3", "0", "4", "4", "9", "5", "2", "7", "7", "1", "4", "3", "7", "6", "0", "0", "3", "1", "4", "1", "3", "8", "3", "9", "8", "6", "7", "9", "1", "1", "7", "7", "9" ]
[ "cons", "nonn", "nice", "changed" ]
126
0
1
[ "A000010", "A005597", "A008683", "A062270", "A062271", "A065418", "A065645", "A065646", "A065647", "A114907", "A167864" ]
[ "M4056" ]
N. J. A. Sloane
2025-04-25T12:53:23
oeisdata/seq/A005/A005597.seq
0d52d058c14322f59c3454c64a5476e7
A005598
a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).
[ "1", "2", "4", "8", "14", "24", "36", "54", "76", "104", "136", "178", "224", "282", "346", "418", "498", "594", "696", "816", "944", "1084", "1234", "1406", "1586", "1786", "1998", "2228", "2470", "2740", "3018", "3326", "3650", "3994", "4354", "4738", "5134", "5566", "6016", "6490", "6980", "7510", "8052", "8636", "9240", "9868", "10518", "11214" ]
[ "nonn", "nice" ]
65
0
2
[ "A000010", "A002088", "A005598", "A011755", "A049695", "A049703", "A103116" ]
[ "M1097" ]
N. J. A. Sloane
2023-01-24T07:51:00
oeisdata/seq/A005/A005598.seq
f9d61f7927083254c4bc9455cf3f20b9
A005599
Running sum of every third term in the {+1,-1}-version of Thue-Morse sequence A010060.
[ "0", "1", "2", "3", "4", "5", "6", "7", "6", "7", "8", "9", "10", "11", "12", "11", "12", "13", "14", "15", "16", "17", "18", "19", "18", "19", "20", "21", "20", "19", "18", "19", "18", "19", "20", "21", "22", "23", "24", "25", "24", "25", "26", "27", "28", "29", "30", "29", "30", "31", "32", "33", "34", "35", "36", "35", "36", "35", "34", "33", "34", "35", "36", "35", "36", "37", "38", "39", "40", "41", "42", "43", "42", "43", "44", "45", "46", "47", "48", "47", "48", "49", "50" ]
[ "nonn", "easy", "nice" ]
63
0
3
[ "A000120", "A005599", "A010060", "A106400" ]
[ "M0468" ]
M. R. Schroeder
2024-05-23T11:56:22
oeisdata/seq/A005/A005599.seq
0892fb5ce5f3666271987cac0672e839
A005600
Decimal expansion of reciprocal of fine-structure constant alpha.
[ "1", "3", "7", "0", "3", "5", "9", "9", "9" ]
[ "cons", "nonn" ]
74
3
2
[ "A003673", "A005600", "A082726" ]
[ "M2606" ]
N. J. A. Sloane, Mira Bernstein
2022-10-13T22:31:48
oeisdata/seq/A005/A005600.seq
60b63d3182b83c9bb8ced233e7fdd599