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A128597
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Column 2 of triangle A128596; a(n) = coefficient of q^(2n+4) in the q-analog of the even double factorials (2n+4)!! for n>=0.
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2
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1, 7, 46, 297, 1919, 12399, 80241, 520399, 3382588, 22034519, 143826980, 940569228, 6161492611, 40426009162, 265617089899, 1747501590554, 11510584144337, 75901841055650, 501007227527884, 3310076954166501
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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+4)] Product_{j=1..n+2} (1-q^(2j))/(1-q) for n>=0.
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PROG
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(PARI) {a(n)=polcoeff(prod(j=1, n+2, (1-q^(2*j))/(1-q)), 2*n+4, 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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