A196734 - OEIS

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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 (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 + 3x^2/2! + 22x^3/3! + 377x^4/4! + 15236x^5/5! +...` `where` `A(2x)^(1/2) = 1 + x + 5x^2/2! + 73x^3/3! + 2649x^4/4! + 226881x^5/5! + 45061213x^6/6! +...+ A096538(n)*x^n/n! +...`
	PROG	`(PARI) {a(n)=local(A=1+x); for(i=1, 21, A=exp(xsubst(A, x, 2x+xO(x^n))^(1/2))); n!polcoeff(A, n)}`
	CROSSREFS	`Cf. A096538, A196735.` `Sequence in context: A193193 A099750 A219268 * A156512 A119770 A153230` `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 May 19 00:49 EDT 2013. Contains 225428 sequences.