A345040 - OEIS

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A345040

a(n) = Sum_{k=0..n} Stirling2(n,k)^k.

1

1, 2, 3, 12, 268, 25853, 19339964, 68901690994, 1638901380861357, 363916628499805466764, 384738112277336112497203088, 4821999492342155731355029409443825, 448660704121129122524211570743600451959266, 270068948293205668896252888517768674319536620944042

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

MATHEMATICA

Unprotect[Power]; 0^0 = 1; Table[Sum[StirlingS2[n, k]^k, {k, 0, n}], {n, 0, 13}]

PROG

(PARI) a(n) = sum(k=0, n, stirling(n, k, 2)^k) \\ Felix Fröhlich, Jun 06 2021

CROSSREFS

Cf. A000110, A008277, A047797, A048993, A167008, A345041.

Sequence in context: A012713 A009814 A362289 * A196378 A336848 A336838

Adjacent sequences: A345037 A345038 A345039 * A345041 A345042 A345043

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jun 06 2021

STATUS

approved