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
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..34
Programs
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Magma
[(&+[StirlingSecond(n,j)^n: j in [0..n]]): n in [0..20]]; // G. C. Greubel, Aug 31 2022
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Mathematica
Table[Sum[StirlingS2[n, k]^n, {k, 0, n}], {n, 0, 11}] -
PARI
a(n) = sum(k=0, n, stirling(n, k, 2)^n) \\ Felix Fröhlich, Jun 06 2021
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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