The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A354263 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A354263

Expansion of e.g.f. 1/(1 + 3 * log(1-x)).
(history; published version)

#15 by Vaclav Kotesovec at Sat Jun 04 02:37:29 EDT 2022

STATUS

editing

approved

#14 by Vaclav Kotesovec at Sat Jun 04 02:37:21 EDT 2022

FORMULA

a(n) ~ n! * exp(n/3) / (3 * (exp(1/3) - 1)^(n+1)). - Vaclav Kotesovec, Jun 04 2022

STATUS

approved

editing

#13 by Michael De Vlieger at Sun May 22 09:50:39 EDT 2022

STATUS

proposed

approved

#12 by Seiichi Manyama at Sun May 22 09:28:52 EDT 2022

STATUS

editing

proposed

#11 by Seiichi Manyama at Sun May 22 08:27:32 EDT 2022

FORMULA

a(0) = 1; a(n) = 3 * Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k).

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;

#10 by Seiichi Manyama at Sat May 21 14:20:49 EDT 2022

CROSSREFS

Column k=3 of A320079.

Cf. A088500, A354264A335531.

Cf. A317171, A335531.

#9 by Seiichi Manyama at Sat May 21 14:17:46 EDT 2022

CROSSREFS

Cf. A335531, A317171, A335531.

#8 by Seiichi Manyama at Sat May 21 14:17:08 EDT 2022

CROSSREFS

Cf. A335531, A317171.

#7 by Seiichi Manyama at Sat May 21 14:14:18 EDT 2022

CROSSREFS

Cf. A335531.

#6 by Seiichi Manyama at Sat May 21 14:11:29 EDT 2022

DATA

1, 3, 21, 222, 3132, 55242, 1169262, 28873800, 814870584, 25871762016, 912684973968, 35416732159872, 1499286521185776, 68757945743286576, 3395829155786528976, 179693346163010491008, 10142543588881013369856, 608262031900883147262336