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A128083 Sum of squared coefficients of q in the q-analog of the odd double factorials. 3

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

%S 1,1,3,37,1159,66953,6158021,825889193,152147002939,36866098462221,

%T 11368538145120143,4347671960639941039,2019396728684584627337,

%U 1119792551093682455434255,730724550040451849614251167

%N Sum of squared coefficients of q in the q-analog of the odd double factorials.

%o (PARI) {a(n)=if(n==0,1,sum(k=0,n^2,polcoeff(prod(j=1,n,(1-q^(2*j-1))/(1-q)),k,q)^2))}

%Y Cf. A001147 ((2n-1)!!); A128080 (triangle), A128081 (central terms), A128082 (diagonal); A127728, A128087.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Feb 14 2007

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Last modified April 25 09:11 EDT 2024. Contains 371964 sequences. (Running on oeis4.)