id:A097786 - OEIS Search Results

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a(n)=3a(n-1)+C(n+3,3),n>0, a(0)=1.

+0
3

1, 7, 31, 113, 374, 1178, 3618, 10974, 33087, 99481, 298729, 896551, 2690108, 8070884, 24213332, 72640812, 217923405, 653771355, 1961315395, 5883947725, 17651844946, 52955536862, 158866612886, 476599841258, 1429799526699 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A052150.`
	FORMULA	`G.f. : 1/((1-3x)(1-x)^4); a(n)=3^(n+4)/16-(4n^3+42n^2+152n+195)/48; a(n)=sum{k=0..n, binomial(n+4, k+4)2^k}.`
	CROSSREFS	`Adjacent sequences: A097783 A097784 A097785 this_sequence A097787 A097788 A097789` `Sequence in context: A055366 A109756 A055580 this_sequence A006458 A091344 A032197`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 24 2004`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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