id:A112483 - OEIS Search Results

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Expansion of the solution of a functional equation.

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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; listen)

	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.`
	PROGRAM	`(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 this_sequence A151381 A057151 A026699` `Adjacent sequences: A112480 A112481 A112482 this_sequence A112484 A112485 A112486`
	KEYWORD	`nonn`
	AUTHOR	`Michael Somos, Sep 08 2005`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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