%I #2 Mar 30 2012 18:37:17
%S 1,1,4,29,417,11629,635575,68495847,14649466838,6240047796536,
%T 5303983470442186,9004906378193235074,30552213347609385960757,
%U 207213131514991438965771387,2809810971676044211903643478219
%N G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum{d|n} A(2^d*n*x/d)^d/d]*x^n ).
%e G.f.: A(x) = 1 + x + 4*x^2 + 29*x^3 + 417*x^4 + 11629*x^5 +...
%e log(A(x)) = A(2*x)*x + [A(2*2x) + A(2^2*x)^2/2]*x^2 + [A(2*3x) + A(2^3*x)^3/3]*x^3 + [A(2*4x) + A(2^2*2x)^2/2 + A(2^4*x)^4/4]*x^4 +...
%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=exp(sum(m=1,n,sumdiv(m,d,m*subst(A,x,2^d*m*x/d+x*O(x^n))^d/d)*x^m/m)));polcoeff(A,n)}
%Y Cf. A162286.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jun 29 2009
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