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%I #9 Mar 30 2012 18:37:31
%S 1,1,3,22,377,15236,1458577,326046946,166826961233,192154584592072,
%T 491898410990385281,2770349200953966300494,34041983929934523771795481,
%U 906333341309409985333411618492,51972772881917637838407651811301201,6386414140694907598544170345261596881026
%N E.g.f. satisfies: A(x) = exp(x*A(2*x)^(1/2)).
%F E.g.f.: A(x) = G(x/2)^2 where G(x) = e.g.f. of A096538.
%e E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 377*x^4/4! + 15236*x^5/5! +...
%e where
%e A(2*x)^(1/2) = 1 + x + 5*x^2/2! + 73*x^3/3! + 2649*x^4/4! + 226881*x^5/5! + 45061213*x^6/6! +...+ A096538(n)*x^n/n! +...
%o (PARI) {a(n)=local(A=1+x);for(i=1,21,A=exp(x*subst(A,x,2*x+x*O(x^n))^(1/2)));n!*polcoeff(A,n)}
%Y Cf. A096538, A196735.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Oct 05 2011
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