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A110276 Convolution of large Schroeder numbers and central binomial coefficients. 1
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; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

FORMULA

G.f.: (1-x-sqrt(1-6x+x^2))/(2x*sqrt(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 * A026883 A151242 A218645

Adjacent sequences:  A110273 A110274 A110275 * A110277 A110278 A110279

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 18 2005

STATUS

approved

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Last modified November 18 14:37 EST 2019. Contains 329262 sequences. (Running on oeis4.)