A192558 a(n) = Sum_{k=0..n} stirling1(n,k)*stirling1(n+1,k+1)*k!.

1, 1, 5, 64, 1454, 50646, 2489402, 163460592, 13786580376, 1449996630360, 185811972643032, 28474991200053696, 5138710297861448112, 1078056139999155414384, 260049332237860544504400, 71447460830350118085570816, 22174520538085189702788173184

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Mathematica

Table[Sum[StirlingS1[n, k]StirlingS1[n+1, k+1]k!, {k, 0, n}], {n, 0, 100}]

Prog

(Maxima) makelist(sum(stirling1(n, k)*stirling1(n+1, k+1)*k!, k, 0, n), n, 0, 24);

Crossrefs

Sequence in context: A193222 A274265 A073179 * A179156 A196304 A061684

Adjacent sequences: A192555 A192556 A192557 * A192559 A192560 A192561

Keyword

nonn

Author

Emanuele Munarini, Jul 04 2011

Status

approved