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A168442
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a(n) = 2^n * Product_{k=1..n} (4*k*(4*k+2))^(n-k).
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1
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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) ~ Pi^(n/2) * 2^(2*n^2 + n + 5/24) * n^(n^2 + n/2 - 1/24) / (sqrt(A) * exp(3*n^2/2 + n/2 - 1/24)), where A is the Glaisher-Kinkelin constant A074962. - Vaclav Kotesovec, Jan 23 2024
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MATHEMATICA
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Table[2^n*Product[(4*k*(4*k+2))^(n-k), {k, 1, 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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