id:A097790 - OEIS Search Results

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a(n)=5a(n-1)+C(n+3,3),n>0, a(0)=1.

+0
2

1, 9, 55, 295, 1510, 7606, 38114, 190690, 953615, 4768295, 23841761, 119209169, 596046300, 2980232060, 14901160980, 74505805716, 372529029549, 1862645148885, 9313225745755, 46566128730315, 232830643653346 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A052244.`
	FORMULA	`G.f. : 1/((1-5x)(1-x)^4)); a(n)=5^(n+4)/256-(32n^3+312n^2+1012n+1107)/768; a(n)=sum{k=0..n, binomial(n+4, k+4)4^k }.`
	CROSSREFS	`Sequence in context: A030053 A072844 A026857 this_sequence A037578 A096191 A041148` `Adjacent sequences: A097787 A097788 A097789 this_sequence A097791 A097792 A097793`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 24 2004`

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.

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