A191353 E.g.f. (1+x)^(x+x^2)

1, 0, 2, 3, 8, 70, 54, 1428, 2624, 27144, 158040, 653400, 6245832, 48636432, -32399472, 6915245400, -59561508480, 1236398222400, -16660175380416, 304602764156928, -5255061417083520

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

a(n)=(sum(k=1..n, sum(i=k..n, (binomial(k,i-k)*stirling1(n-i,k))/(n-i)!)))*n!, n>0, a(0)=1.

Prog

(Maxima)
a2(n):=(sum(sum((binomial(k, i-k)*stirling1(n-i, k))/(n-i)!, i, k, n), k, 1, n))*n!;

Crossrefs

Sequence in context: A333077 A354574 A042815 * A319218 A358562 A368246

Adjacent sequences: A191350 A191351 A191352 * A191354 A191355 A191356

Keyword

sign

Author

Vladimir Kruchinin, May 31 2011

Status

approved