id:A110276 - OEIS Search Results

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Convolution of large Schroeder numbers and central binomial coefficients.

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1, 4, 16, 66, 280, 1218, 5422, 24666, 114540, 542278, 2614178, 12814102, 63772982, 321754290, 1643263134, 8483485886, 44214343344, 232362906298, 1230090777342, 6553657204178, 35113127086114, 189062666857686, 1022459506515674 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: (1-x-sqrt(1-6x+x^2))/(2xsqrt(1-4x^2)); a(n)=sum{k=0..n, C(2k, k)sum{j=0..n-k, C(n-k+j, n-k)C(n-k, j)/(j+1)}}; a(n)=sum{k=0..n, A000984(k)*A006318(n-k)}.`
	CROSSREFS	`Sequence in context: A082307 A099782 A109034 this_sequence A026883 A151242 A024551` `Adjacent sequences: A110273 A110274 A110275 this_sequence A110277 A110278 A110279`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 18 2005`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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