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A156894 a(n)=sum{k=0..n, C(n,k)*C(2n+k-1,k)}. 0
1, 3, 19, 138, 1059, 8378, 67582, 552576, 4563235, 37972290, 317894394, 2674398268, 22590697614, 191475925332, 1627653567916, 13870754053388, 118464647799075, 1013709715774130, 8689197042438274, 74594573994750972 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=[x^n]((1+x)/(1-x)^2)^n.

a(n) = (4*(n+1)*(2*n+1)*A003169(n+1)-(5*n+1)*(2*n-1)*A003169(n))/(17*n + 5) for n>0 [From Mark van Hoeij (hoeij(AT)math.fsu.edu), Jul 14 2010]

CROSSREFS

Cf.: A123164, A114496.

Sequence in context: A094661 A094662 A115750 * A073515 A074559 A027314

Adjacent sequences:  A156891 A156892 A156893 * A156895 A156896 A156897

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 17 2009

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Last modified February 17 12:23 EST 2012. Contains 206011 sequences.