%I A162287
%S A162287 1,1,4,29,417,11629,635575,68495847,14649466838,6240047796536,
%T A162287 5303983470442186,9004906378193235074,30552213347609385960757,
%U A162287 207213131514991438965771387,2809810971676044211903643478219
%N A162287 G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum{d|n} A(2^d*n*x/d)^d/d]*x^n 
               ).
%e A162287 G.f.: A(x) = 1 + x + 4*x^2 + 29*x^3 + 417*x^4 + 11629*x^5 +...
%e A162287 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 A162287 (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 A162287 Cf. A162286.
%Y A162287 Sequence in context: A137646 A000798 A135485 this_sequence A166168 A126559 
               A159862
%Y A162287 Adjacent sequences: A162284 A162285 A162286 this_sequence A162288 A162289 
               A162290
%K A162287 nonn
%O A162287 0,3
%A A162287 Paul D. Hanna (pauldhanna(AT)juno.com), Jun 29 2009