A366752 Expansion of e.g.f. -log(1 + x^2 * log(1 - x)).

0, 0, 0, 6, 12, 40, 540, 3528, 25200, 324000, 3648960, 41690880, 622274400, 9573033600, 150465579264, 2705877820800, 51819600268800, 1028013655818240, 22086154437442560, 504188626820659200, 11997041025160396800, 301999960230701322240

Offset

0,4

Links

Table of n, a(n) for n=0..21.

Formula

a(n) = n! * Sum_{k=1..floor(n/3)} (k-1)! * |Stirling1(n-2*k,k)|/(n-2*k)!.

Prog

(PARI) a(n) = n!*sum(k=1, n\3, (k-1)!*abs(stirling(n-2*k, k, 1))/(n-2*k)!);

Crossrefs

Cf. A052804, A366777.

Cf. A368165.

Sequence in context: A007121 A356910 A353228 * A375685 A351503 A371118

Adjacent sequences: A366749 A366750 A366751 * A366753 A366754 A366755

Keyword

nonn

Author

Seiichi Manyama, Dec 15 2023

Status

approved