%I #2 Mar 30 2012 18:37:09
%S 1,1,2,21,124,1880,20046,391419,6195288,147481299,3121373690,
%T 87790122816,2329580861268,75790954533385,2415630777959686,
%U 89478235732836705,3323789119614522416,138402773923330655700
%N a(n) = Sum_{k=0..n} A136595(n,k)*n^k.
%o (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))))}
%Y Cf. A136595; A048287, A136596, A136597; A136589.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jan 10 2008