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%I #2 Mar 30 2012 18:37:21
%S 1,1,3,16,115,1036,11473,159763,2936153,75599736,2839402692,
%T 157152287254,12697754033411,1482540320575706,248253090345832867,
%U 59396301470163053774,20245084581749243747193,9816099872906073782057427
%N G.f.: A(x) = Sum_{n>=0} x^n*A(x)^(n*2^n).
%e G.f.: A(x) = 1 + x + 3*x^2 + 16*x^3 + 115*x^4 + 1036*x^5 +...
%e A(x) = 1 + x*A(x)^2 + x^2*A(x)^8 + x^3*A(x)^24 + x^4*A(x)^64 +...
%o (PARI) {a(n)=local(A=1+x);for(m=1,n,A=sum(m=0,16,x^m*(A+x*O(x^n))^(m*2^m)));polcoeff(A,n)}
%Y Cf. A177401, A177403.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jun 23 2010
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