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A196734 E.g.f. satisfies: A(x) = exp(x*A(2*x)^(1/2)). 1
1, 1, 3, 22, 377, 15236, 1458577, 326046946, 166826961233, 192154584592072, 491898410990385281, 2770349200953966300494, 34041983929934523771795481, 906333341309409985333411618492, 51972772881917637838407651811301201, 6386414140694907598544170345261596881026 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..15.

FORMULA

E.g.f.: A(x) = G(x/2)^2 where G(x) = e.g.f. of A096538.

EXAMPLE

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! +...

PROG

(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)}

CROSSREFS

Cf. A096538, A196735.

Sequence in context: A219268 A259919 A275366 * A271849 A271850 A156512

Adjacent sequences:  A196731 A196732 A196733 * A196735 A196736 A196737

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 05 2011

STATUS

approved

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Last modified March 30 12:10 EDT 2020. Contains 333125 sequences. (Running on oeis4.)