id:A115294 - OEIS Search Results

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Diagonal sums of correlation triangle for (1+x)^3/(1-x).

+0
2

1, 4, 11, 25, 47, 79, 122, 175, 239, 314, 399, 495, 602, 719, 847, 986, 1135, 1295, 1466, 1647, 1839, 2042, 2255, 2479, 2714, 2959, 3215, 3482, 3759, 4047, 4346, 4655, 4975, 5306, 5647, 5999, 6362, 6735, 7119, 7514, 7919, 8335, 8762, 9199, 9647, 10106 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Diagonal sums of number triangle A115292.`
	FORMULA	`G.f.: (1+x)^2(1+x^2)^3/((1-x)^2(1-x^3)); a(n)=sum{k=0..floor(n/2), sum{j=0..n-k, [j<=k]A115291(k-j)[j<=n-2k]*A115291(n-2k-j)}}.`
	CROSSREFS	`Sequence in context: A159350 A159348 A159349 this_sequence A110610 A051462 A006004` `Adjacent sequences: A115291 A115292 A115293 this_sequence A115295 A115296 A115297`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 19 2006`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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