id:A096977 - OEIS Search Results

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A Jacobsthal summation.

+0
3

0, 1, 2, 11, 36, 157, 598, 2447, 9672, 38913, 155194, 621683, 2484908, 9943269, 39765790, 159077719, 636281744, 2545185225, 10180624386, 40722730555, 162890456180, 651562756781, 2606249162982, 10425000380191, 41699994064216 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`The convolution of A024000 and A003683. Inverse binomial transform is A055275, with interpolated zeros.`
	FORMULA	`G.f. : x(1-2x)/((1-x)^2(1+2x)(1-4x)); a(n)=4*4^n/27-4(-2)^n/27+n/9; a(n)=sum{k=0..n, (A001045(k))^2 } a(n)=4a(n-1)+3a(n-2)-14a(n-3)+8a(n-4).`
	CROSSREFS	`Cf. A001654.` `Adjacent sequences: A096974 A096975 A096976 this_sequence A096978 A096979 A096980` `Sequence in context: A071244 A005583 A015519 this_sequence A084098 A140561 A140553`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 17 2004`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

AT&T Labs Research