A136589 a(n) = Sum_{k=0..n} A136595(n,k)*(n+1)^k.

1, 2, 6, 44, 345, 4182, 53571, 905144, 16154550, 349976610, 8015743483, 211987872516, 5925745900685, 185188128471374, 6108604964499810, 220403394009702384, 8375181440031684305, 342816825221831030490

Offset: 0

Author

Paul D. Hanna, Jan 10 2008

Keywords

• nonn

Crossrefs

Cf. A136595; A048287, A136596, A136597; A136588.

Programs

PARI

{a(n)=sum(k=0,n,if(k==0,0^n,(n+1)^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))))}