A366751 - OEIS

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A366751

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

1

0, 0, 0, 0, 24, 60, 120, 210, 20496, 181944, 1059120, 4990590, 180292200, 3191349876, 36598884504, 327837512730, 7732754793120, 194896185648240, 3574721299186656, 51311061420097014, 1105883184455171640, 32127696556638165420, 812811279492629700360

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OFFSET

0,5

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = n! * Sum_{k=1..floor(n/4)} (k-1)! * Stirling2(n-3*k,k)/(n-3*k)!.

PROG

(PARI) a(n) = n!*sum(k=1, n\4, (k-1)!*stirling(n-3*k, k, 2)/(n-3*k)!);

CROSSREFS

Cf. A052858, A366564.

Sequence in context: A163636 A279930 A292891 * A358014 A356950 A356892

Adjacent sequences: A366748 A366749 A366750 * A366752 A366753 A366754

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 15 2023

STATUS

approved