%I #2 Mar 30 2012 18:37:21
%S 1,1,2,7,34,213,1691,17351,239778,4660097,130797840,5327430502,
%T 313215498381,26403536205316,3178409779673722,544770504845384447,
%U 132751289649621460236,45925488889460251816098
%N G.f.: A(x) = Sum_{n>=0} x^n*A(x)^(n*2^n/2).
%e G.f.: A(x) = 1 + x + 2*x^2 + 7*x^3 + 34*x^4 + 213*x^5 + 1691*x^6 +...
%e A(x) = 1 + x*A(x) + x^2*A(x)^4 + x^3*A(x)^12 + x^4*A(x)^32 +...
%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-1))));polcoeff(A,n)}
%Y Cf. A177402, A177403.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jun 23 2010