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A317274 a(n) = Sum_{k=0..n} binomial(n,k)*Stirling1(n,k). 2
1, 1, -1, -2, 19, -79, 76, 2640, -36945, 329371, -1861949, -4438774, 355714228, -7292531180, 109844527612, -1277006731104, 8181112825231, 124379387459175, -6806984421310187, 191750786928500050, -4289244423048443149, 80163499107525756105, -1146313133241947091420, 5494990440819210736560 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Binomial convolution of the signed Stirling numbers of the first kind.

LINKS

Table of n, a(n) for n=0..23.

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

Cf. A008275, A048994, A122455, A211210, A211211.

Sequence in context: A054209 A256112 A272053 * A226019 A057326 A129446

Adjacent sequences:  A317271 A317272 A317273 * A317275 A317276 A317277

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Jul 25 2018

STATUS

approved

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Last modified October 16 07:30 EDT 2019. Contains 328051 sequences. (Running on oeis4.)