A136588 a(n) = Sum_{k=0..n} A136595(n,k)*n^k.

1, 1, 2, 21, 124, 1880, 20046, 391419, 6195288, 147481299, 3121373690, 87790122816, 2329580861268, 75790954533385, 2415630777959686, 89478235732836705, 3323789119614522416, 138402773923330655700

Offset: 0

Author

Paul D. Hanna, Jan 10 2008

Keywords

• nonn

Crossrefs

Cf. A136595; A048287, A136596, A136597; A136589.

Programs

PARI

{a(n)=sum(k=0,n,if(k==0,0^n,n^k*n!/(k-1)!* sum(i=0,n-1,(-1)^i*polcoeff(((exp(x+x*O(x^n))-1)^(k+i)),n)*binomial(2*i+k,i)/(2*i+k))))}