%I #4 Mar 30 2012 18:37:26
%S 1,1,2,67,2941,327868,75504909,23827165139,14250056009694,
%T 12425294009958329,14645969719539739213,26039632087532302145593,
%U 61861506372519998418244631,188885323588779065057458593218
%N G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n^6).
%e G.f.: A(x) = 1 + x + 2*x^2 + 67*x^3 + 2941*x^4 + 327868*x^5 +...
%e where the g.f. satisfies:
%e A(x) = 1 + x*A(x) + x^2*A(x)^64 + x^3*A(x)^729 + x^4*A(x)^4096 + x^5*A(x)^15625 + x^6*A(x)^46656 +...+ x^n*A(x)^(n^6) +...
%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^6)));polcoeff(A,n)}
%Y Cf. A107595, A191805, A191806, A191807.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jun 16 2011
|