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A128554 Column 4 of triangle A128545; a(n) is the coefficient of q^(4n+16) in the central q-binomial coefficient [2n+8,n+4]. 3

%I #3 Mar 30 2012 18:37:03

%S 1,7,39,155,526,1555,4192,10465,24620,55038,117966,243723,487842,

%T 949446,1802547,3346632,6089910,10881277,19121293,33091141,56466398,

%U 95105255,158256685,260386761,423932473,683409993,1091521679,1728156294

%N Column 4 of triangle A128545; a(n) is the coefficient of q^(4n+16) in the central q-binomial coefficient [2n+8,n+4].

%o (PARI) a(n)=polcoeff(prod(j=n+5,2*n+8,1-q^j)/prod(j=1,n+4,1-q^j),4*n+16,q)

%Y Cf. A128545; A128552, A128553.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Mar 10 2007

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)