id:A001779 - OEIS Search Results

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Expansion of 1/((1+x)(1-x)^8).

+0
3

1, 7, 29, 91, 239, 553, 1163, 2269, 4166, 7274, 12174, 19650, 30738, 46782, 69498, 101046, 144111, 201993, 278707, 379093, 508937, 675103, 885677, 1150123, 1479452, 1886404, 2385644, 2993972 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`a(n) is the number of positive terms in the expansion of (a_1+a_2+a_3+a_4+a_5+a_6+a_7-z)^n. Also the convolution of A001769 and A000012; A001753 and A001477; A001752 and A000217; A002623 and A000292; A002620 and A000332; A004526 and A000389. - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Feb 13 2007`
	FORMULA	`a(n)=(-1)^{7-n}\sum_{i=0}^n ((-1)^{7-i} binomial{7+i,i}) - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Feb 13 2007`
	CROSSREFS	`Sequence in context: A141854 A079796 A114043 this_sequence A053295 A055798 A002664` `Adjacent sequences: A001776 A001777 A001778 this_sequence A001780 A001781 A001782`
	KEYWORD	`nonn`
	AUTHOR	`njas`

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

AT&T Labs Research