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A317274
a(n) = Sum_{k=0..n} binomial(n,k)*Stirling1(n,k).
6
1, 1, -1, -2, 19, -79, 76, 2640, -36945, 329371, -1861949, -4438774, 355714228, -7292531180, 109844527612, -1277006731104, 8181112825231, 124379387459175, -6806984421310187, 191750786928500050, -4289244423048443149, 80163499107525756105, -1146313133241947091420, 5494990440819210736560
OFFSET
0,4
COMMENTS
Binomial convolution of the signed Stirling numbers of the first kind.
MATHEMATICA
Table[Sum[Binomial[n, k] StirlingS1[n, k], {k, 0, n}], {n, 0, 23}]
PROG
(PARI) a(n) = sum(k=0, n, binomial(n, k)*stirling(n, k, 1)); \\ Michel Marcus, Aug 07 2019
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Jul 25 2018
STATUS
approved