A196734 E.g.f. satisfies: A(x) = exp(x*A(2*x)^(1/2)).
1, 1, 3, 22, 377, 15236, 1458577, 326046946, 166826961233, 192154584592072, 491898410990385281, 2770349200953966300494, 34041983929934523771795481, 906333341309409985333411618492, 51972772881917637838407651811301201, 6386414140694907598544170345261596881026
Offset: 0
Keywords
Examples
E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 377*x^4/4! + 15236*x^5/5! +... where 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! +...
Programs
-
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)}
Formula
E.g.f.: A(x) = G(x/2)^2 where G(x) = e.g.f. of A096538.