%I #5 Mar 30 2012 18:37:26
%S 1,1,2,11,83,809,9503,130107,2056768,37137351,761543233,17637050418,
%T 458225405825,13265643258608,424971569670808,14963974979730138,
%U 575619170223815326,24056794697473352763,1087014831018615150024
%N G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^3).
%e G.f.: A(x) = 1 + x + 2*x^2 + 11*x^3 + 83*x^4 + 809*x^5 + 9503*x^6 +...
%e where the g.f. satisfies:
%e A(x) = 1 + x*A(x) + x^2*A(x)^8 + x^3*A(x)^27 + x^4*A(x)^64 + x^5*A(x)^125 + x^6*A(x)^216 +...+ x^n*A(x)^(n^3) +...
%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^m*(A+x*O(x^n))^(m^3)));polcoeff(A,n)}
%Y Cf. A107595, A191806, A191807, A191808.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jun 16 2011