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A110166 Row sums of Riordan array A110165. 1
1, 4, 18, 85, 410, 1999, 9807, 48304, 238570, 1180615, 5851253, 29033074, 144190943, 716652070, 3564079250, 17734184365, 88280673770, 439625873215, 2189988826125, 10912480440850, 54389237971285, 271142650382080 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: (1/sqrt(1-6x+5x^2)/(1-(1-3x-sqrt(1-6x+5x^2)))/(2x)); a(n)=sum{k=0..n, sum{j=0..n, C(n, j)C(2j, j+k)}}.

MATHEMATICA

Table[Sum[Sum[Binomial[n, j]Binomial[2j, j+k], {j, 0, n}], {k, 0, n}], {n, 0, 25}] (* From Harvey P. Dale, Dec 16 2011 *)

CROSSREFS

Sequence in context: A007859 A185132 A085923 * A046885 A055834 A079567

Adjacent sequences:  A110163 A110164 A110165 * A110167 A110168 A110169

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 14 2005

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Last modified February 17 07:30 EST 2012. Contains 205998 sequences.