id:A115254 - OEIS Search Results

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Diagonal sums of correlation triangle for Catalan numbers.

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1, 1, 3, 7, 19, 52, 162, 505, 1666, 5576, 19135, 66494, 234316, 833620, 2992817, 10822802, 39395434, 144207387, 530534468, 1960521470, 7273963575, 27085625086, 101188629692, 379160330195, 1424634014730, 5366319233160 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Diagonal sums of number triangle A115253.`
	FORMULA	`G.f.: c(x)c(x^2)/(1-x^3) where c(x) is the g.f. of A000108; a(n)=sum{k=0..floor(n/2), sum{j=0..n-k, [j<=k]C(k-j)[j<=n-2k]C(n-2k-j)}}.`
	CROSSREFS	`Adjacent sequences: A115251 A115252 A115253 this_sequence A115255 A115256 A115257` `Sequence in context: A011769 A087432 A135052 this_sequence A090378 A007180 A059506`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 18 2006`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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