A162633 - OEIS

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A162633

E.g.f. satisfies: A(x) = exp( x*A(x+x^2) ).

1, 1, 3, 22, 245, 4056, 89887, 2564794, 91107417, 3927302920, 201515838011, 12117018752334, 842801806725397, 67076226899414500, 6051672367977392535, 613945094407473751906, 69541717694720436605873 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..16.`
	EXAMPLE	`E.g.f.: A(x) = 1 + x + 3x^2/2! + 22x^3/3! + 245x^4/4! + 4056x^5/5! +...` `A(x+x^2) = 1 + x + 5x^2/2! + 40x^3/3! + 545x^4/4! + 10276x^5/5! +...` `where log(A(x)) = x*A(x+x^2).`
	PROG	`(PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(xsubst(A, x, x+x^2+xO(x^n)))); n!*polcoeff(A, n)}`
	CROSSREFS	`Sequence in context: A141006 A042703 A141356 * A052677 A136741 A132693` `Adjacent sequences: A162630 A162631 A162632 * A162634 A162635 A162636`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, Jul 07 2009`
	STATUS	`approved`

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Last modified May 21 01:01 EDT 2013. Contains 225470 sequences.