id:A110198 - OEIS Search Results

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Diagonal sums of number triangle A110197.

+0
2

1, 2, 4, 9, 20, 46, 109, 262, 638, 1569, 3886, 9680, 24225, 60856, 153368, 387573, 981742, 2491934, 6336721, 16139616, 41166912, 105139773, 268841100, 688157430, 1763206441, 4521749642, 11605580290, 29809644693, 76621733444 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Partial sums of A051286.`
	FORMULA	`G.f.: 1/((1-x)sqrt((1+x+x^2)(1-3x+x^2))); a(n)=sum{k=0..floor(n/2), sum{i=0..n-2k, binomial(i+k, k)^2}}.`
	CROSSREFS	`Sequence in context: A005908 A085748 A052806 this_sequence A104508 A036623 A001385` `Adjacent sequences: A110195 A110196 A110197 this_sequence A110199 A110200 A110201`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 15 2005`

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

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