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A128594
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Column 2 of triangle A128592; a(n) = coefficient of q^(2n+6) in the q-analog of the odd double factorials (2n+5)!! for n>=0.
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3
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1, 12, 97, 696, 4784, 32230, 214978, 1426566, 9441417, 62405645, 412278981, 2723566163, 17996243101, 118957645301, 786700165122, 5205396517853, 34461624895701, 228274455988134, 1512920531980961, 10032446308837778
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = [q^(2n+6)] Product_{j=1..n+3} (1-q^(2j-1))/(1-q) for n>=0.
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MATHEMATICA
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a[n_] := SeriesCoefficient[Product[(1-q^(2j-1))/(1-q), {j, 1, n+3}], {q, 0, 2n+6}];
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PROG
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(PARI) {a(n)=polcoeff(prod(j=1, n+3, (1-q^(2*j-1))/(1-q)), 2*n+6, q)}
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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