id:A113956 - OEIS Search Results

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Expansion of (1/((1-4x)c(x)))/(1-x^2c(x)/sqrt(1-4x)), c(x) the g.f. of A000108.

+0
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1, 3, 12, 48, 194, 787, 3199, 13017, 52997, 215831, 879076, 3580511, 14582842, 59388280, 241829963, 984609111, 4008282780, 16315179752, 66399357417, 270193396769, 1099323033137, 4472155924094, 18190769442979, 73982564102230 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Diagonal sums of A113955.`
	FORMULA	`G.f.: (1+sqrt(1-4x))/(sqrt(1-4x)(sqrt(1-4x)(x+2)-x)); a(n)=sum{k=0..floor(n/2), sum{j=0..n-k, C(j, j-k)C(2n-2k, n-k-j)}}.`
	CROSSREFS	`Sequence in context: A077828 A002001 A164346 this_sequence A103943 A165328 A142873` `Adjacent sequences: A113953 A113954 A113955 this_sequence A113957 A113958 A113959`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 09 2005`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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