A345041 a(n) = Sum_{k=0..n} Stirling2(n,k)^n.

1, 1, 2, 29, 3699, 10625002, 607758784933, 868305359018619811, 72322260589630363186583012, 141134946941935843819745493472571577, 21506852953850913182859127590586670415329232127, 213131394708948856925732826175269041102801068792839463406106

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..34

Mathematica

Table[Sum[StirlingS2[n, k]^n, {k, 0, n}], {n, 0, 11}]

Prog

(PARI) a(n) = sum(k=0, n, stirling(n, k, 2)^n) \\ Felix Fröhlich, Jun 06 2021
(Magma) [(&+[StirlingSecond(n, j)^n: j in [0..n]]): n in [0..20]]; // G. C. Greubel, Aug 31 2022
(SageMath)
def A345041(n): return sum(stirling_number2(n, j)^n for j in (0..n))
[A345041(n) for n in (0..20)] # G. C. Greubel, Aug 31 2022

Crossrefs

Cf. A000110, A008277, A047797, A048993, A167010, A345040.

Sequence in context: A295426 A055559 A350858 * A114533 A180128 A367871

Adjacent sequences: A345038 A345039 A345040 * A345042 A345043 A345044

Keyword

nonn

Author

Ilya Gutkovskiy, Jun 06 2021

Status

approved