id:A098272 - OEIS Search Results

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2^(2n+1) * C(3n,n)/(2n+1).

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2, 8, 96, 1536, 28160, 559104, 11698176, 254017536, 5670567936, 129328742400, 3000426823680, 70587116421120, 1679973370822656, 40376795886780416, 978590323955466240, 23890230876435382272, 586939535850605641728 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`M. Bousquet-M\'elou, Walks in the quarter plane: Kreweras' algebraic model`
	FORMULA	`G.f. satisfies A(x) = Sum[n>=0, a(n)*x^(3n+1)] = x(2+A(x)^3).`
	PROGRAM	`(PARI) a(n)=2^(2n+1)binomial(3n, n)/(2n+1)` `(PARI) a(n)=polcoeff(serreverse(Ser(x/(2+x^3))), 3*n+1)`
	CROSSREFS	`Equals 2n * A006335(n) = 2^(2n+1) * A001764(n).` `Sequence in context: A131349 A067964 A126429 this_sequence A087540 A052713 A136797` `Adjacent sequences: A098269 A098270 A098271 this_sequence A098273 A098274 A098275`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan, Sep 02 2004`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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