id:A097791 - OEIS Search Results

Search: id:A097791

Displaying 1-1 of 1 results found.

page 1

a(n)=5a(n-1)+C(n+4,4),n>0, a(0)=1.

+0
1

1, 10, 65, 360, 1870, 9476, 47590, 238280, 1191895, 5960190, 29801951, 149011120, 745057420, 3725289480, 18626450460, 93132256176, 465661285725, 2328306434610, 11641532180365, 58207660910680, 291038304564026 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A097790.`
	FORMULA	`G.f. : 1/((1-5x)(1-x)^5)); a(n)=5^(n+5)/1024-(32n^4+480n^3+2680n^2+6660n+6303)/3072; a(n)=sum{k=0..n, binomial(n+5, k+5)4^k}.`
	CROSSREFS	`Sequence in context: A003519 A056280 A000453 this_sequence A140362 A159838 A024391` `Adjacent sequences: A097788 A097789 A097790 this_sequence A097792 A097793 A097794`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 24 2004`

page 1

Search completed in 0.002 seconds

Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.

AT&T Labs Research