%I A141117
%S A141117 1,2,8,46,330,2756,25782,263866,2909092,34181138,424730866,5549236120,
%T A141117 75895955810,1082808876274,16069706031016,247501424330182,
%U A141117 3948322598675930,65130737179097436,1109339652229852966
%N A141117 G.f.: A(x) = G(G(x)) = G(x)*[1 + A(A(x))] where G(x) = x + x*G(G(G(x))) 
               = g.f. of A091713.
%F A141117 G.f. A(x) satisfies: G( x/(1 + A(x)) ) = x where G(x) = g.f. of A091713.
%e A141117 G.f.: A(x) = G(G(x)) such that G(x) = A(x)/[1 + A(A(x))] where
%e A141117 G(x) = x + x^2 + 3*x^3 + 15*x^4 + 99*x^5 + 781*x^6 + 7001*x^7 +...
%e A141117 A(x) = x + 2*x^2 + 8*x^3 + 46*x^4 + 330*x^5 + 2756*x^6 + 25782*x^7 +...
%e A141117 A(A(x)) = x + 4*x^2 + 24*x^3 + 180*x^4 + 1564*x^5 + 15140*x^6 +...
%o A141117 (PARI) {a(n)=local(A); A=x+x^2; for(i=3, n, A=x+x*subst(A, x, subst(A, 
               x, A))+x*O(x^n)); polcoeff(subst(A, x, A), n, x)}
%Y A141117 Cf. A091713.
%Y A141117 Sequence in context: A003091 A119501 A006664 this_sequence A145844 A005840 
               A161881
%Y A141117 Adjacent sequences: A141114 A141115 A141116 this_sequence A141118 A141119 
               A141120
%K A141117 nonn
%O A141117 1,2
%A A141117 Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2008