The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A363405 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A363405

G.f. satisfies A(x) = exp( Sum_{k>=1} (A(x^k) + A(i*x^k) + A(-x^k) + A(i^3*x^k))/4 * x^k/k ), where i = sqrt(-1).
(history; published version)

#20 by OEIS Server at Thu Jun 01 11:11:42 EDT 2023

LINKS

Seiichi Manyama, <a href="/A363405/b363405_1.txt">Table of n, a(n) for n = 0..1000</a>

#19 by Michael De Vlieger at Thu Jun 01 11:11:42 EDT 2023

STATUS

proposed

approved

Discussion

Thu Jun 01

11:11

OEIS Server: Installed first b-file as b363405.txt.

#18 by Seiichi Manyama at Thu Jun 01 10:05:21 EDT 2023

STATUS

editing

proposed

#17 by Seiichi Manyama at Thu Jun 01 09:40:18 EDT 2023

LINKS

Seiichi Manyama, <a href="/A363405/b363405_1.txt">Table of n, a(n) for n = 0..1000</a>

STATUS

approved

editing

#16 by Michael De Vlieger at Wed May 31 14:33:29 EDT 2023

STATUS

proposed

approved

#15 by Seiichi Manyama at Wed May 31 11:54:54 EDT 2023

STATUS

editing

proposed

#14 by Seiichi Manyama at Wed May 31 11:40:34 EDT 2023

NAME

G.f. satisfies: A(x) = exp( Sum_{k>=1} (A(x^k) + A(i*x^k) + A(-x^k) + A(i^3*x^k))/4 * x^k/k ), where i = sqrt(-1).

#13 by Seiichi Manyama at Wed May 31 11:36:34 EDT 2023

DATA

1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 5, 5, 5, 10, 12, 13, 13, 26, 34, 36, 37, 74, 97, 105, 107, 215, 293, 320, 328, 658, 905, 998, 1025, 2058, 2878, 3194, 3292, 6611, 9316, 10412, 10748, 21594, 30697, 34470, 35663, 71668, 102446, 115575, 119761, 240740, 345940, 391726, 406571, 817453, 1179322, 1339851

#12 by Seiichi Manyama at Wed May 31 11:35:25 EDT 2023

PROG

(PARI) seq(n) = my(A=1); for(i=1, n, A=exp(sum(k=1, i, sum(m=0, 3, subst(A, x, I^m*x^k))/4*x^k/k)+x*O(x^n))); Vec(A);

#11 by Seiichi Manyama at Wed May 31 11:29:37 EDT 2023

NAME

G.f. satisfies: A(x) = exp( Sum_{k>=1} (A(x^k) + A(i*x^k) + A(-x^k) + A(-i^3*x^k))/4 * x^k/k ), where i = sqrt(-1).