%I #5 Mar 30 2012 18:37:33
%S 1,4,62,7646,11346032,173032723944,25223251091617644,
%T 34295314615208803660344,429734276354140075492905291038,
%U 49292144933883713910495181570024546094,51546480948489890934875222750204184228031911158
%N G.f.: exp( Sum_{n>=1} (3^n + A(x))^n * x^n/n ).
%e G.f.: A(x) = 1 + 4*x + 62*x^2 + 7646*x^3 + 11346032*x^4 + 173032723944*x^5 +...
%e where
%e log(A(x)) = (3 + A(x))*x + (3^2 + A(x))^2*x^2/2 + (3^3 + A(x))^3*x^3/3 + (3^4 + A(x))^4*x^4/4 +...
%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=exp(sum(m=1,n,(3^m+A+x*O(x^n))^m*x^m/m)));polcoeff(A,n)}
%Y Cf. A202629, A202519, A155203.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 21 2011
|