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Dataset card Data Studio Files
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348
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score
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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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A361501
A variant of A359143 in which all copies of a digit d are erased only when d is both the leading digit and the final digit of (a(n) concatenated with sum of digits of a(n)).
[ "11", "112", "1124", "11248", "1124816", "112481623", "11248162328", "1124816232838", "112481623283849", "11248162328384962", "1124816232838496270", "112481623283849627077", "2486232838496270779", "248623283849627077997", "248623283849627077997113", "248623283849627077997113118", "248623283849627077997113118128" ]
[ "sign", "base" ]
39
0
1
[ "A359142", "A359143", "A361350", "A361501" ]
null
N. J. A. Sloane, Mar 17 2023
2023-03-21T02:49:57
oeisdata/seq/A361/A361501.seq
fcd8e8afccc262841bbe64135662ef84
A361502
Index of n-th prime in A359804.
[ "2", "3", "4", "8", "13", "42", "347", "3466", "49012", "528231", "717126", "63056215", "1375559400", "7038527851" ]
[ "nonn", "more" ]
19
1
1
[ "A359804", "A361502", "A361504" ]
null
N. J. A. Sloane, Mar 18 2023, based on a comment made by Michael De Vlieger in A359804 in which he gave the values of a(1) to a(12).
2023-03-19T10:18:24
oeisdata/seq/A361/A361502.seq
a0fa4ceb3c62106b4d4d6d915aae3b6f
A361503
a(1)=2; thereafter a(n) = smallest prime that does not divide b(n-1)*b(n), where b(k) = A359804(k).
[ "2", "3", "5", "2", "3", "5", "7", "3", "2", "5", "7", "11", "3", "5", "7", "11", "5", "3", "7", "5", "11", "7", "2", "3", "5", "7", "11", "5", "7", "2", "3", "5", "7", "3", "5", "7", "2", "5", "7", "11", "13", "5", "2", "3", "5", "2", "7", "3", "5", "7", "11", "5", "3", "2", "5", "7", "11", "2", "5", "3", "7", "5", "3", "7", "2", "11", "3", "7", "5", "3", "7", "5", "11", "7", "5", "11", "7", "5", "3", "7", "11", "3", "2", "5", "7", "2", "5", "3", "2", "5", "7", "13", "3", "5", "2", "3" ]
[ "nonn" ]
15
1
1
[ "A053669", "A359804", "A361503" ]
null
N. J. A. Sloane, Mar 18 2023
2023-03-19T10:20:26
oeisdata/seq/A361/A361503.seq
a07917d9f437d3a70217f116a41eefac
A361504
Index of n in A359804, or -1 if n never appears there.
[ "1", "2", "3", "5", "4", "6", "8", "10", "9", "7", "13", "14", "42", "12", "11", "24", "347", "19", "3466", "15", "16", "17", "49012", "25", "18", "31", "32", "20", "528231", "21", "717126", "38", "22", "44", "23", "35", "63056215", "47", "45", "26", "1375559400", "27", "7038527851", "28", "29", "55" ]
[ "nonn", "more" ]
19
1
2
[ "A359804", "A361502", "A361504" ]
null
N. J. A. Sloane, Mar 18 2023
2023-03-19T21:12:31
oeisdata/seq/A361/A361504.seq
7200746aab0aaf3c0ad05f41dee9ed01
A361505
Index of 2^n in A359804.
[ "1", "2", "5", "10", "24", "38", "87", "172", "349", "706", "1407", "2752", "5487", "11103", "22285", "44429", "88993", "177746", "356460", "712129", "1425163", "2849424", "5701776", "11401709", "22804522", "45608572", "91219022", "182438457", "364879209", "729757797", "1459514883", "2919031155", "5838065175", "11676129412", "23352260426" ]
[ "nonn" ]
19
0
2
[ "A359804", "A361502", "A361504", "A361505" ]
null
N. J. A. Sloane, Mar 18 2023
2023-03-19T10:38:59
oeisdata/seq/A361/A361505.seq
1e8e7bc934829386cbd2658fb0e8541e
A361506
a(n) = floor( (4/5)*( (9/4)^(n+1)-1 ) ).
[ "1", "3", "8", "19", "45", "102", "232", "524", "1181", "2659", "5984", "13466", "30300", "68177", "153400", "345151", "776590", "1747330", "3931495", "8845865", "19903197", "44782195", "100759939", "226709865", "510097199", "1147718699", "2582367075", "5810325919", "13073233320", "29414774972", "66183243689", "148912298302" ]
[ "nonn" ]
20
0
2
[ "A003462", "A033622", "A036562", "A036564", "A036569", "A055875", "A055876", "A108870", "A361506", "A361507" ]
null
N. J. A. Sloane, Mar 20 2023, at the suggestion of Don Knuth.
2023-12-03T18:39:47
oeisdata/seq/A361/A361506.seq
d6c90e912699212174be588001dfa9b5
A361507
a(0) = 1; thereafter a(n) = floor((9/4)*a(n-1)) + 1.
[ "1", "3", "7", "16", "37", "84", "190", "428", "964", "2170", "4883", "10987", "24721", "55623", "125152", "281593", "633585", "1425567", "3207526", "7216934", "16238102", "36535730", "82205393", "184962135", "416164804", "936370810", "2106834323", "4740377227", "10665848761", "23998159713", "53995859355", "121490683549", "273354037986", "615046585469", "1383854817306", "3113673338939" ]
[ "nonn" ]
16
0
2
[ "A003462", "A033622", "A036562", "A036564", "A036569", "A055875", "A055876", "A108870", "A361506", "A361507" ]
null
N. J. A. Sloane, Mar 20 2023, following a suggestion from Don Knuth.
2023-12-02T17:18:23
oeisdata/seq/A361/A361507.seq
41d920d7410f7c860b4b47cbaa4a66d5
A361508
a(n) = smallest k such that Fibonacci(k) = n, or -1 if n is not a Fibonacci number.
[ "0", "1", "3", "4", "-1", "5", "-1", "-1", "6", "-1", "-1", "-1", "-1", "7", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "8", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "9", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "10", "-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", "-1", "-1", "-1", "-1", "-1", "11" ]
[ "sign" ]
11
0
3
[ "A000045", "A010056", "A361508" ]
null
N. J. A. Sloane, Mar 30 2023
2023-05-13T15:29:12
oeisdata/seq/A361/A361508.seq
bf213287c3730bce103d01eb97a1b9a1
A361509
a(n) = smallest Fibonacci number F(k) such that F(k) + F(n) is a prime, or -1 if no such F(k) exists.
[ "2", "1", "1", "0", "0", "0", "3", "0", "2", "3", "34", "0", "5", "0", "2", "3", "34", "0", "987", "46368", "2584", "3", "2", "0", "13", "144" ]
[ "nonn", "more", "less" ]
36
0
1
[ "A000045", "A361509", "A361510", "A361902" ]
null
Jack Braxton, Mar 26 2023
2023-04-06T03:15:08
oeisdata/seq/A361/A361509.seq
4749a09f498f5e68bfbf5c17e2b0f6e9
A361510
a(n) = smallest k >= 0 such that Fibonacci(k) + Fibonacci(n) is a prime, or -1 if no such k exists.
[ "3", "1", "1", "0", "0", "0", "4", "0", "3", "4", "9", "0", "5", "0", "3", "4", "9", "0", "16", "24", "18", "4", "3", "0", "7", "12" ]
[ "nonn", "more", "less" ]
14
0
1
[ "A000045", "A361509", "A361510", "A361902" ]
null
Jack Braxton, Mar 26 2023
2023-04-01T23:22:15
oeisdata/seq/A361/A361510.seq
81f5bb5c5833c25674524ab8c454d79e
A361511
a(1) = 1. Thereafter if a(n-1) is a novel term, a(n) = d(a(n-1)); otherwise, if a(n-1) is the t-th non-novel term, a(n) = a(n-1) + d(a(t)), where d is the divisor function A000005.
[ "1", "1", "2", "2", "3", "2", "4", "3", "5", "2", "4", "6", "4", "7", "2", "4", "6", "8", "4", "7", "11", "2", "5", "7", "9", "3", "6", "10", "4", "8", "11", "13", "2", "4", "6", "8", "10", "13", "15", "4", "8", "12", "6", "9", "13", "15", "17", "2", "4", "7", "11", "15", "19", "2", "4", "8", "11", "15", "21", "4", "8", "11", "13", "17", "19", "21", "24", "8", "10", "12", "16", "5", "7", "9", "12", "16", "18", "6", "10", "14", "4", "7", "11", "13", "15", "17", "19", "23" ]
[ "nonn", "tabf" ]
38
1
3
[ "A000005", "A360179", "A361511", "A361512", "A361516", "A362095" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-09T11:29:41
oeisdata/seq/A361/A361511.seq
255b601defff44982bfca2e8b0bfeb1d
A361512
Indices of novel terms in A361511.
[ "1", "3", "5", "7", "9", "12", "14", "18", "21", "25", "28", "32", "39", "42", "47", "53", "59", "67", "71", "77", "80", "88", "94", "100", "106", "115", "120", "128", "134", "142", "147", "154", "161", "170", "178", "187", "196", "205", "217", "226", "236", "246", "256", "266", "280", "287", "302", "313", "327", "334", "348", "359", "374", "383", "394", "406", "416", "431" ]
[ "nonn" ]
9
1
2
[ "A361511", "A361512" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-08T11:43:51
oeisdata/seq/A361/A361512.seq
487b5db870594836d7eeea33eac6c056
A361513
Novel terms in A361511, in order of appearance.
[ "1", "2", "3", "4", "5", "6", "7", "8", "11", "9", "10", "13", "15", "12", "17", "19", "21", "24", "16", "18", "14", "23", "29", "20", "27", "22", "26", "28", "35", "32", "25", "30", "34", "36", "33", "31", "44", "38", "42", "37", "45", "39", "51", "49", "60", "41", "50", "43", "40", "46", "48", "52", "54", "58", "62", "53", "56", "59", "64", "65", "57", "55", "61", "47", "68", "63", "74", "72", "67", "80", "78" ]
[ "nonn" ]
10
1
2
[ "A361511", "A361512", "A361513" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-09T02:00:38
oeisdata/seq/A361/A361513.seq
e2f508721454bec02bae4439df225828
A361514
Lengths of rows when A361511 is regarded as an irregular triangle.
[ "1", "2", "2", "2", "2", "3", "2", "4", "3", "4", "3", "4", "7", "3", "5", "6", "6", "8", "4", "6", "3", "8", "6", "6", "6", "9", "5", "8", "6", "8", "5", "7", "7", "9", "8", "9", "9", "9", "12", "9", "10", "10", "10", "10", "14", "7", "15", "11", "14", "7", "14", "11", "15", "9", "11", "12", "10", "15", "10", "14", "16", "10", "14", "11", "13", "13", "15", "13", "14", "15", "19", "14", "13", "17", "18", "12", "13", "14", "13", "16" ]
[ "nonn" ]
9
1
2
[ "A361511", "A361513", "A361514" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-09T02:01:10
oeisdata/seq/A361/A361514.seq
555b82c8ca39a7411c89935ab5e3b1a5
A361515
a(n) = index of first appearance of n in A361511, or -1 if n never appears.
[ "1", "3", "5", "7", "9", "12", "14", "18", "25", "28", "21", "42", "32", "80", "39", "71", "47", "77", "53", "100", "59", "115", "88", "67", "147", "120", "106", "128", "94", "154", "187", "142", "178", "161", "134", "170", "226", "205", "246", "327", "287", "217", "313", "196", "236", "334", "506", "348", "266", "302", "256", "359", "406", "374", "481", "416", "471", "383", "431", "280" ]
[ "nonn" ]
11
1
2
[ "A361511", "A361514", "A361515" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-09T02:01:31
oeisdata/seq/A361/A361515.seq
1f47728231910494033ce1451cc21408
A361516
Indices of records in A361511.
[ "1", "3", "5", "7", "9", "12", "14", "18", "21", "32", "39", "47", "53", "59", "67", "94", "134", "170", "196", "236", "256", "280", "394", "441", "455", "519", "547", "589", "635", "778", "809", "862", "875", "946", "961", "975", "1011", "1053", "1110", "1266", "1469", "1538", "1844", "2043", "2277", "2334", "2369", "2423", "2485", "2596", "2711", "2755", "2934", "2990", "3125", "3369", "3436", "3594", "3762", "3984", "4215", "4290", "4432", "4621", "4677", "4712", "4750", "4897" ]
[ "nonn" ]
10
1
2
[ "A361511", "A361515", "A361516", "A362095" ]
null
N. J. A. Sloane, Apr 08 2023
2023-04-09T02:02:11
oeisdata/seq/A361/A361516.seq
8b71624386c52a4813c83abc611ebdb5
A361517
The value of n for which the two-player impartial {0,1}-Toggle game on a generalized Petersen graph GP(n,2) with a (1,0)-weight assignment is a next-player winning game.
[ "3", "4", "5", "11", "17", "27", "35", "37", "49", "59", "69", "81", "91", "103", "115", "123", "135", "137", "167", "175", "189", "199", "207", "287", "295", "307", "361", "1051", "2507", "2757", "2917", "3057", "3081", "7255", "7361", "7871", "16173" ]
[ "nonn", "more" ]
21
3
1
[ "A071426", "A340631", "A346197", "A346401", "A346637", "A361517" ]
null
Eugene Fiorini, Maxwell Fogler, Katherine Levandosky, Bryan Lu, Jacob K. Porter and Andrew Woldar, Mar 14 2023
2024-11-18T16:38:22
oeisdata/seq/A361/A361517.seq
1ec0fdf42df123befcdb6fddcc449158
A361518
Decimal expansion of arccoth(Pi).
[ "3", "2", "9", "7", "6", "5", "3", "1", "4", "9", "5", "6", "6", "9", "9", "1", "0", "7", "6", "1", "7", "8", "6", "3", "4", "1", "7", "5", "5", "5", "2", "1", "8", "6", "0", "4", "2", "7", "0", "1", "3", "7", "3", "9", "1", "1", "4", "0", "6", "9", "2", "4", "1", "4", "4", "0", "2", "9", "0", "8", "3", "5", "4", "7", "6", "2", "0", "0", "6", "2", "8", "3", "7", "3", "1", "5", "6", "7", "1", "7", "2", "8", "6", "1", "1", "8", "2", "6", "3", "6", "4", "8", "6", "3", "6", "2", "7", "1", "4", "0", "8", "0", "1", "6", "5" ]
[ "cons", "nonn" ]
17
0
1
[ "A359540", "A360938", "A361518", "A361519" ]
null
Wolfe Padawer, Mar 14 2023
2024-12-31T11:13:56
oeisdata/seq/A361/A361518.seq
326851e257a4e44e3f2140b9b197f838
A361519
Decimal expansion of arccsch(Pi).
[ "3", "1", "3", "1", "6", "5", "8", "8", "0", "4", "5", "0", "8", "6", "8", "3", "7", "5", "8", "7", "1", "8", "6", "9", "3", "0", "8", "2", "6", "5", "7", "0", "5", "9", "3", "1", "5", "2", "5", "1", "4", "2", "0", "4", "5", "5", "2", "0", "2", "1", "0", "1", "0", "5", "6", "4", "1", "5", "1", "0", "7", "0", "6", "4", "7", "2", "5", "8", "1", "9", "7", "3", "7", "6", "3", "4", "8", "0", "7", "5", "2", "2", "8", "5", "6", "2", "5", "3", "8", "0", "9", "8", "6", "0", "6", "7", "8", "0", "5", "0", "1", "8", "6", "6", "0" ]
[ "cons", "nonn" ]
13
0
1
[ "A359540", "A360938", "A361518", "A361519" ]
null
Wolfe Padawer, Mar 14 2023
2023-04-04T01:25:08
oeisdata/seq/A361/A361519.seq
11f0fdb83071afe19982aa0b2eabb3cf
A361520
a(n) is the greatest prime factor of a(n-2)^2 + a(n-1)^2 where a(1)=2 and a(2)=3.
[ "2", "3", "13", "89", "809", "349", "409", "144541", "10446133981", "1361264878245241", "4398505263882824939701", "17847523009215848981", "512996953133650208042047593649109478833" ]
[ "nonn" ]
40
1
1
[ "A006530", "A113494", "A175723", "A361520" ]
null
Sebastian F. Orellana, Mar 14 2023
2023-05-07T14:55:20
oeisdata/seq/A361/A361520.seq
2b539f06eae87e6fe7a599dfe8781da5
A361521
Array read by descending antidiagonals. A(n, k) is the number of the nonempty multiset combinations of {0, 1} as defined in A361682.
[ "0", "0", "0", "0", "2", "0", "0", "5", "4", "0", "0", "9", "12", "6", "0", "0", "14", "24", "21", "8", "0", "0", "20", "40", "45", "32", "10", "0", "0", "27", "60", "78", "72", "45", "12", "0", "0", "35", "84", "120", "128", "105", "60", "14", "0", "0", "44", "112", "171", "200", "190", "144", "77", "16", "0", "0", "54", "144", "231", "288", "300", "264", "189", "96", "18", "0" ]
[ "nonn", "tabl" ]
7
0
5
[ "A000004", "A000096", "A005843", "A028347", "A046092", "A067725", "A068380", "A081266", "A139098", "A153792", "A163761", "A361521", "A361682" ]
null
Peter Luschny, Mar 22 2023
2023-03-23T07:57:51
oeisdata/seq/A361/A361521.seq
6cd71cf4c1dae4dfb2561f0b2fe3447a
A361522
The aerated factorial numbers.
[ "1", "0", "1", "0", "2", "0", "6", "0", "24", "0", "120", "0", "720", "0", "5040", "0", "40320", "0", "362880", "0", "3628800", "0", "39916800", "0", "479001600", "0", "6227020800", "0", "87178291200", "0", "1307674368000", "0", "20922789888000", "0", "355687428096000", "0", "6402373705728000", "0", "121645100408832000", "0", "2432902008176640000" ]
[ "nonn" ]
16
0
5
[ "A000142", "A081123", "A081124", "A084261", "A161556", "A361522" ]
null
Peter Luschny, Mar 14 2023
2023-11-14T13:42:43
oeisdata/seq/A361/A361522.seq
077f2a1279fbc603b2fedc2d3a03f18a
A361523
Triangle read by rows: T(n,k) is the number of ways of dividing an n X k rectangle into integer-sided rectangles, up to rotations and reflections.
[ "1", "1", "1", "1", "2", "4", "1", "3", "17", "54", "1", "6", "61", "892", "9235", "1", "10", "220", "8159", "406653", "10538496" ]
[ "nonn", "tabl", "more" ]
10
0
5
[ "A000012", "A005418", "A116694", "A227690", "A347825", "A360629", "A361523", "A361524", "A361525", "A361526" ]
null
Pontus von Brömssen, Mar 15 2023
2023-03-20T13:08:56
oeisdata/seq/A361/A361523.seq
425c926f2c4e4a767f94432e05c2fa67
A361524
Number of ways of dividing an n X n square into integer-sided rectangles, up to rotations and reflections.
[ "1", "1", "4", "54", "9235", "10538496" ]
[ "nonn", "more" ]
8
0
3
[ "A182275", "A224239", "A360630", "A361523", "A361524" ]
null
Pontus von Brömssen, Mar 15 2023
2023-03-19T08:29:24
oeisdata/seq/A361/A361524.seq
5f3bd8c2e63339616c467e7168ca4c45
A361525
Number of ways of dividing an n X 3 rectangle into integer-sided rectangles, up to rotations and reflections.
[ "1", "3", "17", "54", "892", "8159", "80021", "791821", "7906439", "79069308" ]
[ "nonn", "more" ]
8
0
2
[ "A208215", "A359019", "A360632", "A361523", "A361525" ]
null
Pontus von Brömssen, Mar 15 2023
2023-03-19T08:29:20
oeisdata/seq/A361/A361525.seq
4376c8d708877b0ae98b7b3d4acea5c2
A361526
Number of ways of dividing an n X 4 rectangle into integer-sided rectangles, up to rotations and reflections.
[ "1", "6", "61", "892", "9235", "406653", "9252097", "211703640" ]
[ "nonn", "more" ]
8
0
2
[ "A220297", "A359020", "A361523", "A361526" ]
null
Pontus von Brömssen, Mar 15 2023
2023-03-19T08:29:16
oeisdata/seq/A361/A361526.seq
cb762cba233a012b4cb4da1aee3c5895
A361527
Triangular array read by rows. T(n,k) is the number of labeled digraphs on [n] having exactly k strongly connected components all of which are simple cycles, n >= 0, 0 <= k <= n.
[ "1", "0", "1", "0", "1", "3", "0", "2", "21", "25", "0", "6", "213", "774", "543", "0", "24", "3470", "30275", "59830", "29281", "0", "120", "95982", "1847265", "7757355", "10110735", "3781503", "0", "720", "4578588", "190855000", "1522899105", "3944546095", "3767987307", "1138779265" ]
[ "nonn", "tabl" ]
23
0
6
[ "A000142", "A003024", "A011266", "A361527" ]
null
Geoffrey Critzer, Mar 14 2023
2023-03-16T04:50:35
oeisdata/seq/A361/A361527.seq
a22c437dab848b531f6d78410ab9dbf8
A361528
a(n) = (2+n)*(2*a(n-1) - (n-2)*a(n-2)) with a(0)=a(1)=1.
[ "1", "1", "8", "75", "804", "9681", "129168", "1889379", "30037500", "515342817", "9484627608", "186305208219", "3888697965012", "85920579594225", "2002828537732896", "49107722192594739", "1263165207424720812", "34004577057249890241", "955970215914084949800", "28011115058953357075563", "853924857091970071203972" ]
[ "nonn" ]
61
0
3
[ "A052852", "A288268", "A361528", "A361649" ]
null
Igor Victorovich Statsenko, Mar 23 2023
2025-03-26T08:31:42
oeisdata/seq/A361/A361528.seq
fc1307d0859ffb43accf52f52e9051fc
A361529
Number of noncrossing partitions of an n-set with distinct block sizes.
[ "1", "1", "1", "4", "5", "11", "43", "64", "137", "253", "1121", "1596", "3625", "6475", "12825", "51766", "77393", "163609", "299719", "577126", "980581", "4105291", "5770601", "12332486", "21758449", "41755501", "69558113", "127657648", "466063781", "669034815", "1357587571", "2383561636", "4432375521", "7377464689", "13211074817", "21284795176", "76820589073" ]
[ "nonn" ]
19
0
4
[ "A000108", "A007837", "A361529" ]
null
Peter Kildeager, Mar 14 2023
2024-01-19T08:18:40
oeisdata/seq/A361/A361529.seq
faa939b99fe43c31fe5dfe836b7d56c8
A361530
Primes that can be written as the result of shuffling the decimal digits of two primes.
[ "23", "37", "53", "73", "113", "127", "131", "137", "139", "151", "157", "173", "179", "193", "197", "211", "223", "229", "233", "239", "241", "271", "283", "293", "311", "313", "317", "331", "337", "347", "353", "359", "367", "373", "379", "383", "389", "397", "421", "431", "433", "457", "523", "541", "547", "571", "593", "613", "617", "631", "673", "677", "719" ]
[ "nonn", "base" ]
11
1
1
[ "A019549", "A083427", "A105184", "A361530" ]
null
Robert C. Lyons, Mar 14 2023
2023-04-16T09:48:04
oeisdata/seq/A361/A361530.seq
38c3dfd2b06dc7da0a9c056537b9f56c
A361531
Expansion of e.g.f. exp(1 - exp(x) + x^3/6).
[ "1", "-1", "0", "2", "-3", "-2", "21", "-44", "-62", "631", "-1367", "-3170", "34849", "-86855", "-302964", "3058342", "-8509971", "-36488802", "430842051", "-1111575888", "-6244999438", "78663444549", "-250850311489", "-1724880111306", "18475299723737", "-65061274823853", "-444914618968648", "6831921081061986" ]
[ "sign", "easy" ]
9
0
4
[ "A124504", "A293037", "A337062", "A361489", "A361531" ]
null
Seiichi Manyama, Mar 14 2023
2023-03-15T12:40:47
oeisdata/seq/A361/A361531.seq
97f797b3239a6c42154a9eb3c3617936
A361532
Expansion of e.g.f. exp((x + x^2/2)/(1-x)).
[ "1", "1", "4", "19", "118", "886", "7786", "78184", "881644", "11017108", "150966856", "2249261356", "36181351504", "624658612384", "11516406883528", "225740649754936", "4686671645814736", "102712289940757264", "2369128149877075264", "57359541280704038128", "1454229915957292684576" ]
[ "nonn" ]
21
0
3
[ "A052845", "A112242", "A185369", "A361532", "A361548", "A361557", "A361558" ]
null
Seiichi Manyama, Mar 15 2023
2023-06-08T14:02:05
oeisdata/seq/A361/A361532.seq
f65e495c15c54df4aff26b45dc15d6d6
A361533
Expansion of e.g.f. exp(x^3/(6 * (1-x))).
[ "1", "0", "0", "1", "4", "20", "130", "980", "8400", "80920", "865200", "10164000", "130114600", "1802600800", "26867640800", "428661633400", "7288513232000", "131558835408000", "2512282795422400", "50600743739145600", "1071998968264224000", "23829055696093648000", "554524256514356128000" ]
[ "nonn" ]
24
0
5
[ "A185369", "A293049", "A361533", "A361545", "A361547" ]
null
Seiichi Manyama, Mar 15 2023
2024-06-17T08:49:52
oeisdata/seq/A361/A361533.seq
339bf21e9066f96cd931179b37055301
A361534
Let h,i,j be the latest 3 terms in the sequence, starting with a(1)=1, a(2)=2, a(3)=3. Let R = rad(h*i*j), where rad is A007947, and let S be the smallest number of terms in U = {h,i,j} which are divisible by any prime p dividing R. Then, a(n) is the least novel multiple of the greatest such prime p.
[ "1", "2", "3", "6", "9", "4", "12", "15", "5", "8", "18", "10", "20", "21", "7", "25", "30", "14", "28", "35", "40", "42", "24", "49", "56", "27", "33", "11", "22", "36", "39", "13", "16", "45", "26", "52", "50", "55", "65", "78", "44", "66", "91", "104", "77", "88", "117", "130", "99", "110", "143", "156", "60", "121", "169", "182", "132", "154", "195", "208", "165", "176", "221", "17", "234", "48", "34", "51", "68", "54", "85", "70", "102" ]
[ "nonn" ]
14
1
2
[ "A007947", "A361133", "A361534" ]
null
David James Sycamore, Mar 15 2023
2023-04-23T23:31:44
oeisdata/seq/A361/A361534.seq
60edfcec7855adb5ca8454ca2c313ead
A361535
Expansion of g.f. 1 / Product_{n>=1} ((1 - x^n)^6 * (1 - x^(2*n-1))^4).
[ "1", "10", "61", "290", "1172", "4212", "13833", "42262", "121625", "332764", "871641", "2197936", "5359005", "12679730", "29200593", "65617892", "144189054", "310400110", "655669910", "1360910666", "2779007594", "5589070978", "11081585154", "21679798590", "41883282555", "79958881544", "150943109191", "281926365224" ]
[ "nonn" ]
16
0
2
[ "A360191", "A361050", "A361535", "A361550" ]
null
Paul D. Hanna, Mar 18 2023
2023-03-19T14:38:34
oeisdata/seq/A361/A361535.seq
92c2eaaf0f1e3da4e8876b99e206738b
A361536
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(3*n) * A(x)^(3*n) / n!.
[ "1", "3", "60", "2037", "92187", "5066952", "322801089", "23197971285", "1848188250810", "161297106209607", "15285968218925460", "1562519987561305566", "171348519312001997550", "20068058089211306151393", "2500498134501774994768119", "330350627790472265384885061", "46136067767500181432129130897" ]
[ "nonn" ]
10
0
2
[ "A360950", "A360973", "A360974", "A360975", "A361046", "A361302", "A361536", "A361537", "A361541", "A361542", "A361543", "A361551" ]
null
Paul D. Hanna, Mar 15 2023
2023-03-16T04:26:54
oeisdata/seq/A361/A361536.seq
e4fd1d60b6780771669934050e250a63
A361537
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(3*n) * A(x)^(4*n) / n!.
[ "1", "3", "75", "3234", "186471", "13063908", "1060481214", "97053553710", "9840717984447", "1092337371705273", "131589391554509112", "17089208887923714204", "2379797411747290723350", "353790840030976298935989", "55935780589531899802966062", "9373903063348266793396858620" ]
[ "nonn" ]
10
0
2
[ "A360950", "A360973", "A360974", "A360975", "A361046", "A361307", "A361536", "A361537", "A361541", "A361542", "A361543", "A361551" ]
null
Paul D. Hanna, Mar 15 2023
2023-03-16T04:27:03
oeisdata/seq/A361/A361537.seq
90241aa50efedb72d20a989bd0c082d3
A361538
Central terms of triangle A361050.
[ "1", "5", "244", "19090", "1839075", "199363606", "23320604384", "2876887986028", "369107300988219", "48807370374419910", "6610055144592717246", "912769451975745598299", "128087096344387852459658", "18219369599509083643661044", "2621701165622760015979876800", "381039123615762485580377457688" ]
[ "nonn" ]
8
1
2
[ "A361050", "A361538" ]
null
Paul D. Hanna, Mar 18 2023
2023-03-19T04:56:06
oeisdata/seq/A361/A361538.seq
a225518fe8821bb85f61db3cbc90b8f4
A361539
a(n) = A361540(n, n-2) for n >= 2, a diagonal of triangle A361540.
[ "3", "39", "426", "4550", "50085", "577731", "7022596", "90148860", "1222753815", "17515226465", "264663151038", "4212100028994", "70475063838361", "1237144088015535", "22735980569119560", "436467520716475064", "8733235757816095083", "181740089309026259565", "3925458146197916823970" ]
[ "nonn" ]
7
2
1
[ "A361539", "A361540" ]
null
Paul D. Hanna, Mar 20 2023
2023-03-24T09:04:03
oeisdata/seq/A361/A361539.seq
dbc535dd6bcda6cd360629201f80d3d5
A361540
Expansion of e.g.f. A(x,y) satisfying A(x,y) = Sum_{n>=0} (A(x,y)^n + y)^n * x^n/n!, as a triangle read by rows.
[ "1", "1", "1", "3", "4", "1", "22", "39", "18", "1", "269", "604", "426", "92", "1", "4616", "12625", "12040", "4550", "520", "1", "102847", "332766", "401355", "218300", "50085", "3222", "1", "2824816", "10574725", "15456756", "11017895", "3867080", "577731", "21700", "1", "92355769", "393171416", "676130644", "597596216", "284455150", "69038984", "7022596", "157544", "1" ]
[ "nonn", "tabl" ]
20
0
4
[ "A155806", "A185298", "A202999", "A203013", "A361053", "A361054", "A361055", "A361056", "A361057", "A361539", "A361540", "A361544", "A361549", "A361688" ]
null
Paul D. Hanna, Mar 20 2023
2023-03-24T09:03:37
oeisdata/seq/A361/A361540.seq
fe420ba87127ee2a59d90e316baab171
A361541
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(4*n) * A(x)^n / n!.
[ "1", "4", "56", "1220", "34788", "1203152", "48418384", "2210163032", "112501779300", "6308565897088", "386149471644704", "25614932030415636", "1830512170952711968", "140224558208217547440", "11464991752291729651224", "996723500374559386157920", "91824970792933898453830680" ]
[ "nonn" ]
10
0
2
[ "A360950", "A360973", "A360974", "A360975", "A361046", "A361308", "A361536", "A361537", "A361541", "A361542", "A361543", "A361551" ]
null
Paul D. Hanna, Mar 15 2023
2023-03-16T04:27:14
oeisdata/seq/A361/A361541.seq
7d0f1a7be1cc7a5a70cc2c0c232c5c6b
A361542
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(4*n) * A(x)^(2*n) / n!.
[ "1", "4", "84", "2940", "137228", "7809680", "517517212", "38860889496", "3248881861500", "298704250964336", "29928006672383280", "3244628959712243628", "378449007991303855532", "47261928190105905687600", "6293239981401396941576632", "890249832854933140207681360", "133355904852469516343820132852" ]
[ "nonn" ]
10
0
2
[ "A360950", "A360973", "A360974", "A360975", "A361046", "A361309", "A361536", "A361537", "A361541", "A361542", "A361543", "A361551" ]
null
Paul D. Hanna, Mar 15 2023
2023-03-17T03:03:57
oeisdata/seq/A361/A361542.seq
d8695bb2a8b3dd185e28604c29437cef
A361543
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(4*n) * A(x)^(3*n) / n!.
[ "1", "4", "112", "5380", "346788", "27285968", "2498963752", "259124694312", "29885849525700", "3786931724896768", "522451837498888672", "77929657518224116484", "12496899169394954817144", "2144326582901160246138160", "392104633203721656029928184", "76134826269461672101153285664" ]
[ "nonn" ]
9
0
2
[ "A360950", "A360973", "A360974", "A360975", "A361046", "A361310", "A361536", "A361537", "A361541", "A361542", "A361543", "A361551" ]
null
Paul D. Hanna, Mar 15 2023
2023-03-17T03:00:59
oeisdata/seq/A361/A361543.seq
8eee6fe1add3d85414edb7e22d0f94f4
A361544
a(n) = A361540(n,1) for n >= 1, a column of triangle A361540.
[ "1", "4", "39", "604", "12625", "332766", "10574725", "393171416", "16744363569", "803841993370", "42957812253301", "2529951235854516", "162852898603253209", "11378885054925777494", "858009440175419213445", "69471138931959493061296", "6013997809048628612191585", "554545575488282609142617778" ]
[ "nonn" ]
7
1
2
[ "A185298", "A361540", "A361544" ]
null
Paul D. Hanna, Mar 20 2023
2023-03-24T09:03:42
oeisdata/seq/A361/A361544.seq
bd3e85120c2110183494fad6cb9b363a
A361545
Expansion of e.g.f. exp(x^4/(24 * (1-x))).
[ "1", "0", "0", "0", "1", "5", "30", "210", "1715", "15750", "160650", "1801800", "22043175", "292116825", "4168464300", "63725161500", "1039028615625", "17998106626500", "330068683444500", "6388785205803000", "130156170633113625", "2783924007745505625", "62375052003905891250", "1460924768552182683750" ]
[ "nonn" ]
13
0
6
[ "A185369", "A293050", "A361533", "A361545", "A361547" ]
null
Seiichi Manyama, Mar 15 2023
2024-06-17T08:50:20
oeisdata/seq/A361/A361545.seq
0824388b7795a6b84c63636743e58a53
A361546
a(n) is the least odd number k such that k*2^prime(n) + 1 is prime, or -1 if no such number k exists.
[ "1", "5", "3", "5", "9", "5", "9", "11", "45", "23", "35", "15", "3", "9", "27", "51", "27", "53", "9", "39", "23", "249", "51", "51", "131", "221", "29", "105", "321", "179", "5", "221", "111", "411", "191", "65", "83", "75", "95", "101", "147", "83", "149", "111", "203", "131", "9", "245", "281", "15", "83", "65", "299", "39", "51", "51", "225", "65", "81", "125", "611", "143", "65", "107", "21" ]
[ "nonn" ]
20
1
2
[ "A076336", "A253398", "A361546" ]
null
Jean-Marc Rebert, Mar 15 2023
2023-03-20T04:42:43
oeisdata/seq/A361/A361546.seq
0b7913739b449bccc6eed86142a31c45
A361547
Expansion of e.g.f. exp(x^5/(120 * (1-x))).
[ "1", "0", "0", "0", "0", "1", "6", "42", "336", "3024", "30366", "335412", "4041576", "52756704", "741620880", "11169844686", "179448036768", "3063069801792", "55360031126400", "1056123043335360", "21208345049147256", "447183762148547424", "9877939209960101280", "228112734232663600320" ]
[ "nonn" ]
13
0
7
[ "A185369", "A361533", "A361545", "A361547" ]
null
Seiichi Manyama, Mar 15 2023
2024-06-17T09:58:38
oeisdata/seq/A361/A361547.seq
a4f0fc6571fc4bf23434c52f38563b77
A361548
Expansion of e.g.f. exp((x + x^2/2 + x^3/6)/(1-x)).
[ "1", "1", "4", "20", "126", "966", "8656", "88544", "1016380", "12920156", "179996816", "2725070096", "44521522024", "780344770440", "14599772973696", "290311643773376", "6112190642062096", "135798496839920144", "3174483084427144000", "77872118431269176896", "1999809157085214044896" ]
[ "nonn" ]
13
0
3
[ "A361532", "A361548", "A361557", "A361558" ]
null
Seiichi Manyama, Mar 15 2023
2024-11-03T18:03:58
oeisdata/seq/A361/A361548.seq
f1bdea5f427fcadfb2274a5209f868c5
A361549
a(n) = A361540(n,2) for n >= 2, a column of triangle A361540.
[ "1", "18", "426", "12040", "401355", "15456756", "676130644", "33151425840", "1802216703285", "107652497473180", "7012494336544686", "494963689847333928", "37648456802884402111", "3071415347513049808740", "267644521958509484952360", "24822151072519637091258976", "2442314922307988498911793385" ]
[ "nonn" ]
7
2
2
[ "A361540", "A361544", "A361549" ]
null
Paul D. Hanna, Mar 20 2023
2023-03-24T09:03:48
oeisdata/seq/A361/A361549.seq
30d5338028e3286134e3d56c6e4186e8
A361550
Expansion of g.f. A(x,y) satisfying x*y = Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x,y)^(3*n) - 1/A(x,y)^(3*n+1)), as a triangle read by rows.
[ "1", "0", "1", "0", "5", "1", "0", "18", "10", "1", "0", "55", "61", "20", "1", "0", "149", "290", "215", "35", "1", "0", "371", "1172", "1660", "555", "56", "1", "0", "867", "4212", "10311", "5850", "1254", "84", "1", "0", "1923", "13833", "54688", "47460", "17773", "2555", "120", "1", "0", "4086", "42262", "256815", "319409", "188300", "46844", "4810", "165", "1", "0", "8374", "121625", "1093790", "1864445", "1621116", "621915", "111348", "8505", "220", "1", "0", "16634", "332764", "4297370", "9717550", "11913160", "6557572", "1818022", "243795", "14290", "286", "1" ]
[ "nonn", "tabl" ]
11
0
5
[ "A359920", "A360191", "A361050", "A361535", "A361550", "A361552", "A361553", "A361554", "A361555", "A361556" ]
null
Paul D. Hanna, Mar 19 2023
2024-01-05T23:33:08
oeisdata/seq/A361/A361550.seq
a300835d0360cd3fbea18a355e2c337d
A361551
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n (x^(5*n) * A(x)^n) / n!.
[ "1", "5", "90", "2535", "93840", "4226355", "222038775", "13259599965", "884588496165", "65114097133590", "5239173990133060", "457392343670390700", "43064135370809341250", "4350264113638902544555", "469422682906897831519170", "53897717818214315584719430", "6561919113715122121302125775" ]
[ "nonn" ]
12
0
2
[ "A360950", "A360973", "A360974", "A360975", "A361046", "A361311", "A361536", "A361537", "A361541", "A361542", "A361543", "A361551" ]
null
Paul D. Hanna, Mar 15 2023
2023-03-18T06:19:59
oeisdata/seq/A361/A361551.seq
9c21f7182df30398d9f264f6e0476e86
A361552
Expansion of g.f. A(x) satisfying 2*x = Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x)^(3*n) - 1/A(x)^(3*n+1)).
[ "1", "2", "14", "84", "530", "3770", "29446", "240302", "2003914", "17024332", "147306448", "1294859540", "11524690228", "103605031978", "939357512086", "8580744729478", "78898896072996", "729661925134886", "6782435427053490", "63332055630823770", "593793935288453260", "5587934788557993846" ]
[ "nonn" ]
14
0
2
[ "A000041", "A040051", "A359914", "A359920", "A361550", "A361552", "A361553", "A361554", "A361555" ]
null
Paul D. Hanna, Mar 19 2023
2024-01-18T14:00:07
oeisdata/seq/A361/A361552.seq
a57c85af7104e633e22c2b727c7ad99d
A361553
Expansion of g.f. A(x) satisfying 3*x = Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x)^(3*n) - 1/A(x)^(3*n+1)).
[ "1", "3", "24", "171", "1335", "11940", "115773", "1160901", "11901537", "124726644", "1332688035", "14455451526", "158660036535", "1758835084221", "19667067522966", "221573079684087", "2512635069594897", "28656903391830291", "328500210705228867", "3782806859877522522", "43738575934977450465" ]
[ "nonn" ]
14
0
2
[ "A359920", "A361550", "A361552", "A361553", "A361554", "A361555" ]
null
Paul D. Hanna, Mar 19 2023
2024-01-18T14:01:18
oeisdata/seq/A361/A361553.seq
2be35b97e8b1e8e67c8ef1c61c15e3e2
A361554
Expansion of g.f. A(x) satisfying 4*x = Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x)^(3*n) - 1/A(x)^(3*n+1)).
[ "1", "4", "36", "296", "2732", "28980", "329996", "3872908", "46575260", "573472248", "7197096168", "91640952360", "1180636398320", "15364364313588", "201691201775092", "2667523242203932", "35510152549696208", "475424653523498396", "6397601663340197268", "86481499341290372804", "1173813146742741571560" ]
[ "nonn" ]
12
0
2
[ "A359920", "A361550", "A361552", "A361553", "A361554", "A361555" ]
null
Paul D. Hanna, Mar 19 2023
2024-01-05T23:32:55
oeisdata/seq/A361/A361554.seq
e170768c2c444a68f279aeb4ca466a61
A361555
Expansion of g.f. A(x) satisfying 5*x = Sum_{n=-oo..+oo} x^(n*(3*n+1)/2) * (A(x)^(3*n) - 1/A(x)^(3*n+1)).
[ "1", "5", "50", "465", "4925", "59870", "776155", "10364135", "142082065", "1995371980", "28549274995", "414327073520", "6084353526535", "90258375062245", "1350607531232830", "20361436162127965", "308964002231172075", "4715119823819824535", "72324133311820587435", "1114404268419043050750" ]
[ "nonn" ]
13
0
2
[ "A359920", "A361550", "A361552", "A361553", "A361554", "A361555" ]
null
Paul D. Hanna, Mar 19 2023
2024-02-01T09:15:32
oeisdata/seq/A361/A361555.seq
ab7c82db53768e9ab1788d40c847070c
A361556
Central terms of triangle A361550.
[ "1", "5", "61", "1660", "47460", "1621116", "58002140", "2213389940", "87301563690", "3555890156445", "148125509781095", "6292884402884976", "271565202254735207", "11878392121526009800", "525519782174930309205", "23481280252471520720288", "1058270749214634093475910", "48058678036035725619136698" ]
[ "nonn" ]
7
0
2
[ "A361550", "A361556" ]
null
Paul D. Hanna, Mar 19 2023
2023-03-19T05:01:15
oeisdata/seq/A361/A361556.seq
26a94ed03490f6814dc85c8f729ccbad
A361557
Expansion of e.g.f. exp((exp(x) - 1)/(1-x)).
[ "1", "1", "4", "20", "127", "977", "8789", "90267", "1040260", "13275258", "185653535", "2821321725", "46265262553", "813871304989", "15281792484768", "304949014412540", "6442741397501699", "143633948442619765", "3369004776395733829", "82919378806522132407", "2136425765494805888952" ]
[ "nonn" ]
11
0
3
[ "A002627", "A361532", "A361548", "A361557", "A361558" ]
null
Seiichi Manyama, Mar 15 2023
2023-03-15T12:40:43
oeisdata/seq/A361/A361557.seq
8e698c7e131e7b18c19cfc42c3412697
A361558
Expansion of e.g.f. exp((x + x^2/2 + x^3/6 + x^4/24)/(1-x)).
[ "1", "1", "4", "20", "127", "976", "8776", "90084", "1037555", "13233077", "184956386", "2809098986", "46038214729", "809411443790", "15189361799522", "302932433571356", "6396529241755881", "142523960797017589", "3341115707515530400", "82187749261419720712", "2116421112495023612311" ]
[ "nonn" ]
9
0
3
[ "A361532", "A361548", "A361557", "A361558" ]
null
Seiichi Manyama, Mar 15 2023
2023-03-15T12:40:26
oeisdata/seq/A361/A361558.seq
7b869195099536a4dddef721eed5b454
A361559
a(n) = Sum_{k=1..prime(n)-1} floor(k^5/prime(n)).
[ "0", "10", "258", "1740", "20070", "48510", "196920", "350370", "937860", "3075030", "4322160", "10641330", "17925180", "22825110", "35827560", "65816010", "113180910", "133937670", "215070570", "288148140", "331474860", "493573080", "633015810", "899599140", "1387338960", "1700082450", "1876303260", "2272556790", "2494333710" ]
[ "nonn" ]
6
1
2
[ "A078837", "A361559" ]
null
Michel Marcus, Mar 15 2023
2023-03-15T12:15:09
oeisdata/seq/A361/A361559.seq
319055fa215e9a636724da3300a9e2ff
A361560
Number of labeled digraphs on [n] all of whose strongly connected components are complete digraphs.
[ "1", "1", "4", "47", "1471", "115042", "21591817", "9455689609", "9464951556046", "21316993121024757", "106689322228222150243", "1174731578884501228621956", "28221161668500867009724237123", "1468937207982284446757761131062629", "164682046577167683717133576752582349216", "39562388056404531283767850863430043742371123" ]
[ "nonn" ]
12
0
3
[ "A003024", "A011266", "A361527", "A361560" ]
null
Geoffrey Critzer, Mar 15 2023
2023-03-16T04:32:37
oeisdata/seq/A361/A361560.seq
7af5b4fa456b46a5004baef831a50e4c
A361561
Number of even middle divisors of n, where "middle divisor" means a divisor in the half-open interval [sqrt(n/2), sqrt(n*2)).
[ "0", "0", "0", "1", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "0", "0", "2", "0", "0", "0", "1", "0", "1", "0", "1", "0", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "2", "0", "0", "0", "0", "0", "1", "0", "1", "0", "0", "0", "2", "0", "0", "0", "1", "0", "1", "0", "0", "0", "1", "0", "2", "0", "0", "0", "0", "0", "0", "0", "2", "0", "0", "0", "1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "2", "0", "0", "0", "1", "0", "0", "0", "1", "0" ]
[ "nonn" ]
20
1
24
[ "A067742", "A071090", "A071562", "A183063", "A299761", "A358434", "A361561", "A361824" ]
null
Omar E. Pol, Mar 15 2023
2023-04-06T13:00:23
oeisdata/seq/A361/A361561.seq
762c3b221172a18cb403d9a208d7542b
A361562
Wagstaff numbers that are of the form 4*k + 3.
[ "3", "7", "11", "19", "23", "31", "43", "79", "127", "167", "191", "199", "347", "3539", "5807", "10691", "11279", "12391", "14479", "83339", "117239", "127031", "141079", "269987", "986191", "4031399" ]
[ "nonn", "more" ]
44
1
1
[ "A000978", "A002145", "A112633", "A361562", "A361563" ]
null
Jorge Coveiro, Mar 15 2023
2023-04-16T10:39:08
oeisdata/seq/A361/A361562.seq
50d8f39f2b27b124e8485c247ff62ec0
A361563
Wagstaff numbers that are of the form 4*k + 1.
[ "5", "13", "17", "61", "101", "313", "701", "1709", "2617", "10501", "42737", "95369", "138937", "267017", "374321" ]
[ "nonn", "more" ]
55
1
1
[ "A000978", "A002144", "A112634", "A361562", "A361563" ]
null
Jorge Coveiro, Mar 15 2023
2023-04-15T16:55:48
oeisdata/seq/A361/A361563.seq
7e96ef9445189857f1d6976f89adfb36
A361564
Number of (n-3)-connected unlabeled n-node graphs.
[ "4", "6", "10", "17", "25", "39", "59", "87", "127", "186" ]
[ "nonn", "more" ]
7
3
1
[ "A259862", "A361564" ]
null
Manfred Scheucher, Mar 15 2023
2023-03-17T06:51:19
oeisdata/seq/A361/A361564.seq
0e1ca9d3f7a5d496fde62b7441711bd6
A361565
a(n) is the numerator of the median of divisors of n.
[ "1", "3", "2", "2", "3", "5", "4", "3", "3", "7", "6", "7", "7", "9", "4", "4", "9", "9", "10", "9", "5", "13", "12", "5", "5", "15", "6", "11", "15", "11", "16", "6", "7", "19", "6", "6", "19", "21", "8", "13", "21", "13", "22", "15", "7", "25", "24", "7", "7", "15", "10", "17", "27", "15", "8", "15", "11", "31", "30", "8", "31", "33", "8", "8", "9", "17", "34", "21", "13", "17", "36", "17", "37", "39", "10" ]
[ "nonn", "frac" ]
20
1
2
[ "A027750", "A033676", "A033677", "A071090", "A139710", "A139711", "A361565", "A361566" ]
null
Stefano Spezia, Mar 15 2023
2023-03-18T15:26:06
oeisdata/seq/A361/A361565.seq
9140fff1fb00ed54d49f110180612766
A361566
a(n) is the denominator of the median of divisors of n.
[ "1", "2", "1", "1", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "1", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "1", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "1", "1", "2", "1", "2", "1", "2", "1", "2" ]
[ "nonn", "frac" ]
27
1
2
[ "A027750", "A033676", "A033677", "A071090", "A139710", "A139711", "A361565", "A361566" ]
null
Stefano Spezia, Mar 15 2023
2023-03-18T19:12:34
oeisdata/seq/A361/A361566.seq
0c9549d3389bac9c68991e4e855d3020
A361567
Expansion of e.g.f. exp(x^2/2 * (1+x)^2).
[ "1", "0", "1", "6", "15", "60", "555", "3150", "17745", "158760", "1399545", "10914750", "102920895", "1104323220", "11249313075", "119330961750", "1426411411425", "17429852840400", "213417453474225", "2791671804271350", "38524272522310575", "537569719902715500", "7732658753799054075" ]
[ "nonn" ]
14
0
4
[ "A047974", "A335344", "A361278", "A361567", "A361568", "A361569" ]
null
Seiichi Manyama, Mar 16 2023
2023-03-25T08:35:47
oeisdata/seq/A361/A361567.seq
986ad8a2a4ea15a4e25a23456f014137
A361568
Expansion of e.g.f. exp(x^3/6 * (1+x)^3).
[ "1", "0", "0", "1", "12", "60", "130", "420", "8400", "101080", "781200", "4435200", "37714600", "607807200", "8660652000", "94007313400", "914497584000", "11566931376000", "198256136478400", "3275456501116800", "46558791351072000", "636647461257808000", "10238792220969312000", "194852563745775936000" ]
[ "nonn" ]
19
0
5
[ "A047974", "A115055", "A361279", "A361567", "A361568", "A361569" ]
null
Seiichi Manyama, Mar 16 2023
2024-06-16T11:02:15
oeisdata/seq/A361/A361568.seq
9393478f81c708873189ab56a5a486d2
A361569
Expansion of e.g.f. exp(x^4/24 * (1+x)^4).
[ "1", "0", "0", "0", "1", "20", "180", "840", "1715", "2520", "88200", "1940400", "29111775", "303603300", "2188286100", "12549537000", "143029511625", "3397035642000", "71419225878000", "1170096883956000", "15075357741068625", "163540869094102500", "2025016641129982500", "40912918773391665000" ]
[ "nonn" ]
13
0
6
[ "A047974", "A361280", "A361567", "A361568", "A361569" ]
null
Seiichi Manyama, Mar 16 2023
2024-06-16T11:02:11
oeisdata/seq/A361/A361569.seq
400335808425a8b6e1b5b4a381767e57
A361570
Expansion of e.g.f. exp( (x * (1+x))^2 ).
[ "1", "0", "2", "12", "36", "240", "2280", "15120", "122640", "1330560", "13335840", "136382400", "1657212480", "20860519680", "262278656640", "3585207225600", "52249374777600", "772773281280000", "11907924610982400", "193962388523904000", "3253343368231756800", "56051640629816832000" ]
[ "nonn" ]
15
0
3
[ "A047974", "A052887", "A361278", "A361570", "A361571" ]
null
Seiichi Manyama, Mar 16 2023
2024-10-18T11:39:22
oeisdata/seq/A361/A361570.seq
65ad8de173a7c82965bcaf4dbe52fef0
A361571
Expansion of e.g.f. exp( (x * (1+x))^3 ).
[ "1", "0", "0", "6", "72", "360", "1080", "15120", "302400", "3689280", "32659200", "359251200", "6965481600", "133880947200", "2070484416000", "30305353478400", "559684629504000", "12582442768896000", "271843009108070400", "5401042458152140800", "111578968350001152000", "2657164887872022528000" ]
[ "nonn" ]
10
0
4
[ "A047974", "A361279", "A361570", "A361571" ]
null
Seiichi Manyama, Mar 16 2023
2023-03-16T08:49:49
oeisdata/seq/A361/A361571.seq
a86b8ca71dcb943c6c0d0fbcbf07cf91
A361572
Expansion of e.g.f. exp( (x / (1-x))^3 ).
[ "1", "0", "0", "6", "72", "720", "7560", "90720", "1270080", "20381760", "364694400", "7125148800", "150186960000", "3393726336000", "81882210009600", "2102315389574400", "57244753133568000", "1647544166940672000", "49957730917981286400", "1591303422125646028800" ]
[ "nonn" ]
16
0
4
[ "A000262", "A052887", "A091695", "A361572", "A361576" ]
null
Seiichi Manyama, Mar 16 2023
2024-09-07T18:00:27
oeisdata/seq/A361/A361572.seq
c94f7d1c0a70669e7aa59975cee9a52a
A361573
Expansion of e.g.f. exp(x^3/(6 * (1 - x)^3)).
[ "1", "0", "0", "1", "12", "120", "1210", "13020", "152880", "1975960", "28148400", "440470800", "7525441000", "139375236000", "2778421245600", "59239029249400", "1343609515248000", "32274288638592000", "818014942318974400", "21809788600885084800", "610079100418595808000", "17863467401461938256000" ]
[ "nonn" ]
17
0
5
[ "A000262", "A335344", "A361573", "A361577" ]
null
Seiichi Manyama, Mar 16 2023
2023-05-20T12:26:22
oeisdata/seq/A361/A361573.seq
cc2da058e4c0a7bf89eaaf98a1475b44
A361574
a(n) is the number of Fibonacci meanders of length m*n and central angle 360/m degrees where m = 3.
[ "1", "3", "8", "21", "68", "242", "861", "3151", "11874", "45192", "173496", "673042" ]
[ "nonn", "more" ]
26
1
2
[ "A000071", "A197657", "A201631", "A361574" ]
null
Peter Luschny, Mar 16 2023
2023-03-28T15:21:34
oeisdata/seq/A361/A361574.seq
d3d23ea3897892deed4afd2fdec1773e
A361575
Number of Fibonacci meanders of length n.
[ "1", "3", "5", "11", "13", "30", "34", "71", "97", "177", "233", "481", "610", "1157", "1677", "3027", "4181", "8016", "10946", "20379", "29534", "52461", "75025", "140748", "196778", "355979", "526123", "933044", "1346269", "2469992", "3524578", "6342729", "9400985", "16487211" ]
[ "nonn", "more" ]
8
1
2
[ "A198060", "A199932", "A361574", "A361575" ]
null
Peter Luschny, Mar 16 2023
2023-03-30T09:17:07
oeisdata/seq/A361/A361575.seq
74685264df08b773b46dcb5f58338035
A361576
Expansion of e.g.f. exp( (x / (1-x))^4 ).
[ "1", "0", "0", "0", "24", "480", "7200", "100800", "1431360", "21772800", "370137600", "7185024000", "158150361600", "3848298854400", "100865282918400", "2799294930432000", "81599752346112000", "2492894621048832000", "79852538982408192000", "2684220785621286912000" ]
[ "nonn" ]
13
0
5
[ "A000262", "A052887", "A361572", "A361576" ]
null
Seiichi Manyama, Mar 16 2023
2023-04-25T15:23:44
oeisdata/seq/A361/A361576.seq
27d31d7f552b6c8a6605e9c10c058f9a
A361577
Expansion of e.g.f. exp(x^4/(24 * (1 - x)^4)).
[ "1", "0", "0", "0", "1", "20", "300", "4200", "58835", "849240", "12814200", "203742000", "3430355775", "61363001700", "1168815948300", "23734579869000", "513878948207625", "11850279026586000", "290440507342986000", "7543064638441332000", "206860683821114948625", "5968372055889205462500" ]
[ "nonn" ]
11
0
6
[ "A000262", "A335344", "A361573", "A361577" ]
null
Seiichi Manyama, Mar 16 2023
2023-03-16T09:05:41
oeisdata/seq/A361/A361577.seq
ee63e8607635222ca1cfadfc00eb616b
A361578
Number of 5-connected polyhedra (or 5-connected simple planar graphs) with n nodes
[ "1", "0", "1", "1", "5", "8", "30", "85", "382", "1550", "7352" ]
[ "nonn", "hard", "more" ]
14
12
5
[ "A000944", "A003094", "A005470", "A007027", "A021103", "A049373", "A086216", "A111358", "A361578" ]
null
Manfred Scheucher, Mar 16 2023
2023-03-17T06:51:09
oeisdata/seq/A361/A361578.seq
42ecead8b4a61067b3c58e96ef95c964
A361579
Triangular array read by rows. T(n,k) is the number of labeled digraphs on [n] with exactly k source-like components, n >= 0, 0 <= k <= n.
[ "1", "0", "1", "0", "3", "1", "0", "51", "12", "1", "0", "3614", "447", "34", "1", "0", "991930", "53675", "2885", "85", "1", "0", "1051469032", "21514470", "741455", "16665", "201", "1", "0", "4366988803688", "30405612790", "642187105", "9816380", "90678", "462", "1", "0", "71895397383029040", "160152273169644", "2024633081100", "19625842425", "122330544", "474138", "1044", "1" ]
[ "nonn", "tabl" ]
14
0
5
[ "A003028", "A053763", "A361579" ]
null
Geoffrey Critzer, Mar 16 2023
2023-03-26T11:35:25
oeisdata/seq/A361/A361579.seq
3b5f5289db47d4756e05796ca1341eaf
A361580
If n is composite, replace n with the concatenation of its nontrivial divisors, written in decreasing order, each divisor being written in base 10 with its digits in normal order, otherwise a(n) = n.
[ "1", "2", "3", "2", "5", "32", "7", "42", "3", "52", "11", "6432", "13", "72", "53", "842", "17", "9632", "19", "10542", "73", "112", "23", "1286432", "5", "132", "93", "14742", "29", "15106532", "31", "16842", "113", "172", "75", "181296432", "37", "192", "133", "20108542", "41", "21147632", "43", "221142", "15953", "232", "47", "24161286432", "7", "251052" ]
[ "nonn", "base" ]
18
1
2
[ "A037279", "A130139", "A130141", "A361580" ]
null
Tyler Busby, Mar 16 2023
2023-03-22T09:02:27
oeisdata/seq/A361/A361580.seq
07af996cae741188c39c29c5a28055f4
A361581
If n is composite, replace n with the concatenation of its nontrivial divisors, written in decreasing order, each divisor being written in base 10 with its digits in reverse order, otherwise a(n) = n.
[ "1", "2", "3", "2", "5", "32", "7", "42", "3", "52", "11", "6432", "13", "72", "53", "842", "17", "9632", "19", "1542", "73", "112", "23", "2186432", "5", "312", "93", "41742", "29", "51016532", "31", "61842", "113", "712", "75", "812196432", "37", "912", "313", "2018542", "41", "12417632", "43", "221142", "51953", "322", "47", "42612186432", "7", "520152" ]
[ "nonn", "base" ]
12
1
2
[ "A037279", "A130139", "A130142", "A361581" ]
null
Tyler Busby, Mar 16 2023
2023-03-22T08:07:33
oeisdata/seq/A361/A361581.seq
8b523d197698a288837571751aa4197a
A361582
Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with k strongly connected components.
[ "1", "0", "1", "0", "1", "2", "0", "5", "5", "6", "0", "83", "62", "42", "31", "0", "5048", "2494", "1172", "592", "302", "0", "1047008", "330063", "103961", "38312", "15616", "5984", "0", "705422362", "137934757", "28095923", "7243110", "2297690", "795930", "243668", "0", "1580348371788", "184557780045", "23226116293", "3951426731", "914429926", "261269562", "79512478", "20286025" ]
[ "nonn", "tabl" ]
8
0
6
[ "A000273", "A003087", "A035512", "A106238", "A350794", "A361455", "A361582", "A361587", "A361588" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:40
oeisdata/seq/A361/A361582.seq
a7b0155e65ee84e5b130e06bc4e996f6
A361583
Number of digraphs on n unlabeled nodes whose strongly connected components are complete digraphs.
[ "1", "1", "3", "12", "88", "1217", "34672", "2039085", "246005109", "60296886108", "29828186693218", "29663937774464786", "59172529527454608139", "236453014376786629601848", "1891427400988740573006253862", "30274661556583530830890359188257", "969429810937979825934973090455224882" ]
[ "nonn" ]
6
0
3
[ "A000273", "A350794", "A361560", "A361583", "A361584", "A361585" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:35
oeisdata/seq/A361/A361583.seq
54b0a963de21b791d11a4bedec43384c
A361584
Number of digraphs on n unlabeled nodes whose strongly connected components are directed cycles or single vertices.
[ "1", "1", "3", "12", "88", "1239", "36540", "2226595", "277421616", "69974281748", "35535207035048", "36224521019293188", "74004483908461354689", "302712665772844097945072", "2477999475270966827490305948", "40583406022745170376459610683073", "1329552679157905406495248763876363056" ]
[ "nonn" ]
6
0
3
[ "A011266", "A350794", "A361583", "A361584", "A361585" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:31
oeisdata/seq/A361/A361584.seq
c4707934d24724ae6ad5f70fc280109e
A361585
Number of digraphs on n unlabeled nodes whose strongly connected components are directed cycles.
[ "1", "0", "1", "1", "8", "28", "736", "17879", "1568614", "196581247", "62857465075", "34431266945361", "42146672798547398", "95881304594606248756", "459546334152150732106700", "4253461062245855670436620669", "80700118619568448244440535541825", "3011390106783578987361705575335328331" ]
[ "nonn" ]
5
0
5
[ "A350794", "A361583", "A361584", "A361585" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:28
oeisdata/seq/A361/A361585.seq
3ec62111c5e4c386783a08ab5e8e2637
A361586
Number of digraphs on n unlabeled nodes in which every node belongs to a directed cycle.
[ "1", "0", "1", "5", "90", "5289", "1071691", "712342075", "1585944117738", "12152982231404393", "328276896613548366675", "31834464336872565979301363", "11234630426387288679040317490771", "14576388456695908232721134339830232699", "70075904005979773819582865772534172929477101" ]
[ "nonn" ]
8
0
4
[ "A086366", "A350794", "A361586", "A361590" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-29T14:39:29
oeisdata/seq/A361/A361586.seq
d8d40c91bbd076133558c1e827c7f936
A361587
Triangle read by rows: T(n,k) is the number of weakly connected digraphs on n unlabeled nodes with k strongly connected components.
[ "1", "0", "1", "0", "1", "1", "0", "5", "4", "4", "0", "83", "56", "36", "24", "0", "5048", "2406", "1101", "542", "267", "0", "1047008", "324917", "101307", "37017", "14947", "5647", "0", "705422362", "136882286", "27757789", "7134897", "2257234", "779257", "237317", "0", "1580348371788", "183851281949", "23086772643", "3922864504", "907027520", "258909828", "78691767", "20035307" ]
[ "nonn", "tabl" ]
6
0
8
[ "A003085", "A035512", "A101228", "A350794", "A361582", "A361587", "A361588" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:20
oeisdata/seq/A361/A361587.seq
5a54bfdfa69ed64773d3056645494d00
A361588
Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with k strongly connected components and without isolated nodes.
[ "1", "0", "0", "0", "1", "1", "0", "5", "4", "4", "0", "83", "57", "37", "25", "0", "5048", "2411", "1110", "550", "271", "0", "1047008", "325015", "101467", "37140", "15024", "5682", "0", "705422362", "136887749", "27765860", "7139149", "2259378", "780314", "237684", "0", "1580348371788", "183852357683", "23088181536", "3923330808", "907186816", "258971872", "78716548", "20042357" ]
[ "nonn", "tabl" ]
5
0
8
[ "A035512", "A053598", "A350794", "A361582", "A361587", "A361588", "A361589", "A361590" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:17
oeisdata/seq/A361/A361588.seq
5e422e6276ccfe0fb52f784c1cf3d989
A361589
Number of acyclic digraphs on n unlabeled nodes without isolated nodes.
[ "1", "0", "1", "4", "25", "271", "5682", "237684", "20042357", "3404651985", "1162523674892", "796395726736678", "1093229314594543016", "3004753338859186373234", "16527845763725396055765240", "181891586856152393087373330332", "4004313490358484085907684748704180", "176328671349936542115174881107633828418" ]
[ "nonn" ]
5
0
4
[ "A003087", "A350794", "A361588", "A361589" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:14
oeisdata/seq/A361/A361589.seq
2f4b4098af6804fbcf1c842926ee7ded
A361590
Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with exactly k strongly connected components of size 1.
[ "1", "0", "1", "1", "0", "2", "5", "5", "0", "6", "90", "55", "42", "0", "31", "5289", "2451", "974", "592", "0", "302", "1071691", "323709", "94332", "29612", "15616", "0", "5984", "712342075", "135208025", "25734232", "6059018", "1650492", "795930", "0", "243668", "1585944117738", "181427072519", "21650983294", "3358042412", "704602272", "174576110", "79512478", "0", "20286025" ]
[ "nonn", "tabl" ]
8
0
6
[ "A000273", "A003087", "A350794", "A361582", "A361586", "A361588", "A361590", "A361592" ]
null
Andrew Howroyd, Mar 16 2023
2023-03-16T19:46:11
oeisdata/seq/A361/A361590.seq
e9fe963c1310a40e1e10f8ba1a693994
A361591
Triangle read by rows: T(n,k) is the number of weakly connected simple digraphs on n labeled nodes with k strongly connected components.
[ "1", "0", "1", "0", "1", "2", "0", "18", "18", "18", "0", "1606", "1098", "684", "446", "0", "565080", "263580", "116370", "55620", "26430", "0", "734774776", "225806940", "68822910", "24578010", "9729090", "3596762", "0", "3523091615568", "680637057912", "136498491360", "34626926250", "10819771830", "3694824126", "1111506858" ]
[ "nonn", "tabl" ]
6
0
6
[ "A003027", "A003030", "A082402", "A189898", "A361455", "A361587", "A361591" ]
null
Andrew Howroyd, May 04 2023
2023-05-04T14:57:38
oeisdata/seq/A361/A361591.seq
ddc61c8d29e4356be0a01a169da34258
A361592
Triangular array read by rows. T(n,k) is the number of labeled digraphs on [n] with exactly k strongly connected components of size 1, n>=0, 0<=k<=n.
[ "1", "0", "1", "1", "0", "3", "18", "21", "0", "25", "1699", "1080", "774", "0", "543", "587940", "267665", "103860", "59830", "0", "29281", "750744901", "225144360", "64169325", "19791000", "10110735", "0", "3781503", "3556390155318", "672637205149", "126726655860", "29445913175", "7939815030", "3767987307", "0", "1138779265" ]
[ "nonn", "tabl" ]
10
0
6
[ "A003024", "A053763", "A086366", "A361590", "A361592" ]
null
Geoffrey Critzer, Mar 16 2023
2023-03-16T19:46:07
oeisdata/seq/A361/A361592.seq
cc0d6632e97e64a3139a2a618749b270
A361593
a(1) = 1, a(2) = 2, a(3) = 3; for n > 3, a(n) is the smallest positive number which has not appeared such that all the distinct prime factors of a(n-3) + a(n-2) + a(n-1) are factors of a(n).
[ "1", "2", "3", "6", "11", "10", "9", "30", "7", "46", "83", "34", "163", "70", "267", "20", "357", "322", "699", "1378", "2399", "2238", "6015", "5326", "13579", "6230", "25135", "106", "31471", "14178", "45755", "15234", "75167", "68078", "8341", "151586", "228005", "193966", "573557", "248882", "1016405", "306474", "1571761", "361830", "2240065", "1043414", "3645309", "3464394" ]
[ "nonn" ]
14
1
2
[ "A007947", "A027748", "A064413", "A352867", "A359256", "A359557", "A361593" ]
null
Scott R. Shannon and Michael De Vlieger, Mar 16 2023
2023-04-19T19:00:47
oeisdata/seq/A361/A361593.seq
6c4b7130584f8369e87e4761a534b9cf
A361594
Expansion of e.g.f. exp( (x / (1-x))^2 ) / (1-x).
[ "1", "1", "4", "24", "180", "1620", "17040", "204960", "2770320", "41504400", "681791040", "12173293440", "234555773760", "4847900016960", "106932303878400", "2506094618227200", "62165827044921600", "1626693694039814400", "44767280999939097600", "1292282276155782912000" ]
[ "nonn" ]
13
0
3
[ "A002720", "A052887", "A361594", "A361595" ]
null
Seiichi Manyama, Mar 16 2023
2023-10-29T12:55:09
oeisdata/seq/A361/A361594.seq
e6e1145adcb2101697a8354b047d30f1
A361595
Expansion of e.g.f. exp( (x / (1-x))^3 ) / (1-x).
[ "1", "1", "2", "12", "120", "1320", "15480", "199080", "2862720", "46146240", "826156800", "16212873600", "344741443200", "7875365097600", "192137321376000", "4984375210214400", "136994756496998400", "3976455027389644800", "121533921410994892800", "3900447928934548992000" ]
[ "nonn" ]
10
0
3
[ "A002720", "A361572", "A361594", "A361595" ]
null
Seiichi Manyama, Mar 16 2023
2023-03-17T08:25:50
oeisdata/seq/A361/A361595.seq
43d95c1570619330860488a388c7dfb6
A361596
Expansion of e.g.f. exp( x^2/(2 * (1-x)^2) ) / (1-x).
[ "1", "1", "3", "15", "99", "795", "7485", "80745", "981225", "13253625", "196834995", "3185662095", "55770765435", "1049572599075", "21120725230605", "452384160453225", "10272547048388625", "246434674107647025", "6226347228582355875", "165224032352989584975", "4593512876411509125075" ]
[ "nonn" ]
11
0
3
[ "A002720", "A335344", "A361596", "A361597" ]
null
Seiichi Manyama, Mar 16 2023
2023-03-17T08:27:58
oeisdata/seq/A361/A361596.seq
8dea5ad86c6f290f1c39708f4f6eaf27
A361597
Expansion of e.g.f. exp( x^3/(6 * (1-x)^3) ) / (1-x).
[ "1", "1", "2", "7", "40", "320", "3130", "34930", "432320", "5866840", "86816800", "1395455600", "24270908200", "454897042600", "9146979842000", "196443726879400", "4486709145318400", "108548344109004800", "2771885136281060800", "74475606190225240000", "2099591224223100608000" ]
[ "nonn" ]
11
0
3
[ "A002720", "A361573", "A361596", "A361597" ]
null
Seiichi Manyama, Mar 16 2023
2023-03-17T08:29:23
oeisdata/seq/A361/A361597.seq
68c9d525132bd737398e93e6ccaf50b9
A361598
Expansion of e.g.f. exp( x/(1-x)^2 ) / (1-x).
[ "1", "2", "9", "58", "473", "4626", "52537", "677594", "9762993", "155175778", "2693718281", "50657791482", "1025158123849", "22198908725618", "511885585833273", "12517101011344666", "323402336324055137", "8800318580852865474", "251497162228635927433", "7529081846683064675258" ]
[ "nonn" ]
11
0
2
[ "A082579", "A361598", "A361600" ]
null
Seiichi Manyama, Mar 17 2023
2023-03-17T08:30:30
oeisdata/seq/A361/A361598.seq
fe254ca71944ef57ea108d83e00d7c14
A361599
Expansion of e.g.f. exp( x/(1-x)^3 ) / (1-x).
[ "1", "2", "11", "88", "881", "10526", "145867", "2294636", "40302593", "780263866", "16483592171", "376901809472", "9265228770481", "243493769839958", "6808261249400171", "201697053847178836", "6308214318127014017", "207622266953125336946", "7170928402389293540683", "259247888385780787392296" ]
[ "nonn" ]
11
0
2
[ "A091695", "A361599", "A361600" ]
null
Seiichi Manyama, Mar 17 2023
2023-03-17T08:31:47
oeisdata/seq/A361/A361599.seq
61f48c9ca36e087e114792dc2861040b
A361600
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} binomial(n+(k-1)*j,k*j)/j!.
[ "1", "1", "2", "1", "2", "5", "1", "2", "7", "16", "1", "2", "9", "34", "65", "1", "2", "11", "58", "209", "326", "1", "2", "13", "88", "473", "1546", "1957", "1", "2", "15", "124", "881", "4626", "13327", "13700", "1", "2", "17", "166", "1457", "10526", "52537", "130922", "109601", "1", "2", "19", "214", "2225", "20326", "145867", "677594", "1441729", "986410" ]
[ "nonn", "tabl" ]
30
0
3
[ "A000522", "A002720", "A293012", "A361598", "A361599", "A361600", "A361607" ]
null
Seiichi Manyama, Mar 17 2023
2023-03-26T11:14:32
oeisdata/seq/A361/A361600.seq
bb04c9bb9576c4bc0488775cfc2a97fb