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A268506
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a(n) = Product_{k=0..n} (5*k)!.
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14
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ Gamma(1/5)^(3/5) * Gamma(2/5)^(2/5) * Gamma(3/5)^(1/5) * 2^(n/2 - 1/10) * Pi^(n/2 - 1/10) * 5^(23/60 + 3*n + 5*n^2/2) * exp(1/60 - 3*n - 15*n^2/4) * n^(41/60 + 3*n + 5*n^2/2) / A^(1/5), where A = A074962 is the Glaisher-Kinkelin constant.
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MATHEMATICA
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Table[Product[(5*k)!, {k, 0, n}], {n, 0, 8}]
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PROG
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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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