id:A097787 - OEIS Search Results

Search: id:A097787

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

+0
2

1, 8, 39, 152, 526, 1704, 5322, 16296, 49383, 148864, 447593, 1344144, 4034252, 12105136, 36318468, 108959280, 326882685, 980654040, 2941969435, 8825917160, 26477762106, 79433298968, 238299911854, 714899753112, 2144699279811 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A097786.`
	FORMULA	`G.f. : 1/((1-3x)(1-x)^5); a(n)=3^(n+5)/32-(2n^4+32n^3+196n^2+556n+633)/96; a(n)=sum{k=0..n, binomial(n+5, k+5)2^k}.`
	CROSSREFS	`Sequence in context: A063002 A055581 A134415 this_sequence A045909 A120931 A069083` `Adjacent sequences: A097784 A097785 A097786 this_sequence A097788 A097789 A097790`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 24 2004`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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