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A168440
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a(n) = Product_{k=0..n} ((4*k+1)*(4*k+3))^(n-k).
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2
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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) ~ A^(1/4) * sqrt(Gamma(1/4)) * 2^(2*n^2 + 5*n/2 + 1/8) * n^(n^2 + n + 7/48) / (Pi^(1/4) * exp(3*n^2/2 + n + 1/48)), where A is the Glaisher-Kinkelin constant A074962. - Vaclav Kotesovec, Jan 23 2024
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MATHEMATICA
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Table[Product[((4*k+1)*(4*k+3))^(n-k), {k, 0, n}], {n, 0, 10}] (* Vaclav Kotesovec, Jan 23 2024 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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