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A191353 E.g.f. (1+x)^(x+x^2) 0
1, 0, 2, 3, 8, 70, 54, 1428, 2624, 27144, 158040, 653400, 6245832, 48636432, -32399472, 6915245400, -59561508480, 1236398222400, -16660175380416, 304602764156928, -5255061417083520 (list; graph; refs; listen; history; text; internal format)
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: A095203 A003096 A042815 * A319218 A243954 A005008

Adjacent sequences:  A191350 A191351 A191352 * A191354 A191355 A191356

KEYWORD

sign

AUTHOR

Vladimir Kruchinin, May 31 2011

STATUS

approved

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Last modified April 25 23:48 EDT 2019. Contains 322465 sequences. (Running on oeis4.)