A112483 - OEIS

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A112483

Expansion of the solution of a functional equation.

1, 1, 1, 2, 4, 8, 18, 41, 95, 227, 549, 1344, 3332, 8332, 21000, 53310, 136140, 349536, 901758, 2336356, 6076642, 15860182, 41527148, 109048082, 287119014, 757829438, 2004774538, 5314615208, 14116453336, 37563744952, 100126591704 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	FORMULA	`Given g.f. A(x) and B(x) = g.f. of A112482, then B(x)=x+A(x*B(x)).` `G.f. A(x)=y satisfies 0=y^3-y^2+(2x-1)y+x.`
	PROG	`(PARI) {a(n)=local(A); if(n<1, 0, A=O(x); for(k=1, n, A=A^3-A^2+2xA+x); polcoeff(A, n))}`
	CROSSREFS	`Sequence in context: A096813 A058387 A019231 * A151381 A057151 A026699` `Adjacent sequences: A112480 A112481 A112482 * A112484 A112485 A112486`
	KEYWORD	`nonn`
	AUTHOR	`Michael Somos, Sep 08 2005`

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.