id:A115283 - OEIS Search Results

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Diagonal sums of correlation triangle for 3-2*0^n.

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1, 3, 6, 13, 18, 27, 37, 48, 60, 76, 90, 108, 127, 147, 168, 193, 216, 243, 271, 300, 330, 364, 396, 432, 469, 507, 546, 589, 630, 675, 721, 768, 816, 868, 918, 972, 1027, 1083, 1140, 1201, 1260, 1323, 1387, 1452, 1518, 1588, 1656, 1728, 1801 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Diagonal sums of number triangle A115282.`
	FORMULA	`G.f.: (1+2x)(1+2x^2)/((1-x)(1-x^2)(1-x^3)); a(n)=sum{k=0..floor(n/2), sum{j=0..n-k, [j<=k](3-20^(k-j))[j<=n-2k](3-2*0^(n-2k-j))}}.`
	CROSSREFS	`Sequence in context: A009788 A102966 A053569 this_sequence A078382 A075651 A091277` `Adjacent sequences: A115280 A115281 A115282 this_sequence A115284 A115285 A115286`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 19 2006`

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

AT&T Labs Research