%I #2 Mar 30 2012 18:37:22
%S 1,1,2,16,352,19456,2580480,797442048,562315657216,890678506684416,
%T 3130276584569700352,24169368847503392243712,
%U 406655844230538529416937472,14808051220103187059129440010240
%N G.f.: 1 + x = Sum_{n>=0} a(n)*x^n*(1-2^n*x)^n.
%e 1+x = 1 + 1*x*(1-2*x) + 2*x^2*(1-2^2*x)^2 + 16*x^3*(1-2^3*x)^3 + 352*x^4*(1-2^4*x)^4 + 19456*x^5*(1-2^5*x)^5 + 2580480*x^6*(1-2^6*x)^6 +...
%o (PARI) {a(n)=local(A=[1,1]);for(i=1,n,A=concat(A,0); A[ #A]=-polcoeff(sum(m=0,#A-1,A[m+1]*x^m*(1-2^m*x+O(x^#A))^m),#A-1));A[n+1]}
%Y Cf. A179473.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jul 15 2010