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A294323
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a(n) = Product_{k=0..n} (5*k + 1)!.
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4
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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) ~ 2^(n/2 + 7/10) * 5^(5*n^2/2 + 4*n + 4/3) * n^(5*n^2/2 + 4*n + 83/60) * Pi^(n/2 + 3/5) * Gamma(2/5)^(1/5) / (A^(1/5) * (1 + sqrt(5))^(1/10) * Gamma(1/5)^(2/5) * exp(15*n^2/4 + 4*n - 1/60)), where A is the Glaisher-Kinkelin constant A074962.
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MATHEMATICA
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Table[Product[(5*k + 1)!, {k, 0, n}] , {n, 0, 10}]
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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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