A362838 a(n) = (-1)^n * n! * Sum_{k=0..floor(n/2)} n^(n-k) * Stirling1(n-k,k)/(n-k)!.

1, 0, 4, 27, 704, 26250, 1573344, 137145120, 16494166016, 2622125642472, 532936224000000, 134858889573071400, 41584752648545107968, 15351240982641183631440, 6684412762278362097401856, 3390180844777789569609375000, 1981175610959755697378851553280

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = n! * [x^n] 1/(1 - n * x)^x.

Prog

(PARI) a(n) = (-1)^n*n!*sum(k=0, n\2, n^(n-k)*stirling(n-k, k, 1)/(n-k)!);

Crossrefs

Main diagonal of A362837.

Sequence in context: A210343 A104168 A197990 * A068327 A066842 A133032

Adjacent sequences: A362835 A362836 A362837 * A362839 A362840 A362841

Keyword

nonn

Author

Seiichi Manyama, May 05 2023

Status

approved