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%I #2 Mar 30 2012 18:37:09
%S 1,2,6,44,345,4182,53571,905144,16154550,349976610,8015743483,
%T 211987872516,5925745900685,185188128471374,6108604964499810,
%U 220403394009702384,8375181440031684305,342816825221831030490
%N a(n) = Sum_{k=0..n} A136595(n,k)*(n+1)^k.
%o (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))))}
%Y Cf. A136595; A048287, A136596, A136597; A136588.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Jan 10 2008
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