%I #6 Mar 30 2012 18:37:33
%S 1,2,32,5872,10244654,166008832278,24810745551644598,
%T 34076373857728228215714,428687442859626139066325301140,
%U 49247086410581981443124673896698437124,51529024823944797258322973430879108808780359272
%N G.f.: exp( Sum_{n>=1} (3^n - A(x))^n * x^n/n ).
%e G.f.: A(x) = 1 + 2*x + 32*x^2 + 5872*x^3 + 10244654*x^4 + 166008832278*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. A202630, A202518, A155203.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 21 2011