id:A113727 - OEIS Search Results

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A Pell convolution.

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1, 0, 4, 4, 17, 32, 88, 200, 497, 1184, 2876, 6924, 16737, 40384, 97520, 235408, 568353, 1372096, 3312564, 7997204, 19306993, 46611168, 112529352, 271669848, 655869073, 1583407968, 3822685036, 9228778012, 22280241089, 53789260160 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Convolution of A000129(n+1) and (n+1)*(-1)^n.`
	FORMULA	`G.f.: 1/((1-2x-x^2)(1+2x+x^2)); a(n)=4a(n-2)+4a(n-3)+a(n-4); a(n)=sum{k=0..floor(n/2), C(n-k, k)2^(n-2k)*(1+(-1)^(n-k))/2}.`
	CROSSREFS	`Cf. A094686, A113726.` `Sequence in context: A101407 A117785 A117787 this_sequence A116561 A086448 A128090` `Adjacent sequences: A113724 A113725 A113726 this_sequence A113728 A113729 A113730`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 08 2005`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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