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A371603
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a(n) = Product_{k=0..n} binomial(n^2, k^2).
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4
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ c * exp(2*n*(2*n^2/3 + 1)) / (A^(2*n) * 2^(4*n*(n^2 + 1)/3) * Pi^(n/2) * n^(7*n/6 - 1/4)), where c = 0.6367427... and A is the Glaisher-Kinkelin constant A074962.
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MATHEMATICA
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Table[Product[Binomial[n^2, k^2], {k, 0, n}], {n, 0, 8}]
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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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