A366777 Expansion of e.g.f. -log(1 + x^3 * log(1 - x)).

0, 0, 0, 0, 24, 60, 240, 1260, 28224, 241920, 2181600, 21621600, 395176320, 5915669760, 87034409280, 1321166246400, 26242709391360, 529649632512000, 10741214992435200, 221702803264051200, 5187617452174233600, 128491776028533657600

Offset

0,5

Links

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

Formula

a(n) = n! * Sum_{k=1..floor(n/4)} (k-1)! * |Stirling1(n-3*k,k)|/(n-3*k)!.

Prog

(PARI) a(n) = n!*sum(k=1, n\4, (k-1)!*abs(stirling(n-3*k, k, 1))/(n-3*k)!);

Crossrefs

Cf. A052804, A366752.

Cf. A368166.

Sequence in context: A052759 A356911 A353229 * A351504 A356099 A356971

Adjacent sequences: A366774 A366775 A366776 * A366778 A366779 A366780

Keyword

nonn

Author

Seiichi Manyama, Dec 15 2023

Status

approved