id:A097789 - OEIS Search Results

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

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1, 9, 51, 239, 1026, 4230, 17130, 68850, 275895, 1104295, 4418181, 17674089, 70698176, 282795084, 1131183396, 4524737460, 18098954685, 72395824725, 289583306215, 1158333233715, 4633332945486, 18533331794594, 74133327193326 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A097788.`
	FORMULA	`G.f. : 1/((1-4x)(1-x)^5); a(n)=4^(n + 5)/243-(27n^4+414n^3+2385n^2+6198n+6248)/1944; a(n)=sum{k=0..n, binomial(n+5, k+5)3^k}.`
	CROSSREFS	`Adjacent sequences: A097786 A097787 A097788 this_sequence A097790 A097791 A097792` `Sequence in context: A054549 A005746 A061178 this_sequence A080624 A125319 A080621`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 24 2004`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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