id:A097788 - OEIS Search Results

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a(n)=4a(n-1)+C(n+3,3),n>0, a(0)=1.

+0
2

1, 8, 42, 188, 787, 3204, 12900, 51720, 207045, 828400, 3313886, 13255908, 53024087, 212096908, 848388312, 3393554064, 13574217225, 54296870040, 217187481490, 868749927500, 3474999711771, 13899998849108, 55599995398732 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A052161.`
	FORMULA	`G.f.: 1/((1-4x)(1-x)^4); a(n)=4^(n+4)/81-(9n^3+90n^2+303n+350)/162; a(n)=sum{k=0..n, binomial(n+4, k+4)3^k}.`
	CROSSREFS	`Sequence in context: A119965 A055082 A093381 this_sequence A037710 A037612 A047759` `Adjacent sequences: A097785 A097786 A097787 this_sequence A097789 A097790 A097791`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 24 2004`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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