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A362838
a(n) = (-1)^n * n! * Sum_{k=0..floor(n/2)} n^(n-k) * Stirling1(n-k,k)/(n-k)!.
1
1, 0, 4, 27, 704, 26250, 1573344, 137145120, 16494166016, 2622125642472, 532936224000000, 134858889573071400, 41584752648545107968, 15351240982641183631440, 6684412762278362097401856, 3390180844777789569609375000, 1981175610959755697378851553280
OFFSET
0,3
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
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 05 2023
STATUS
approved