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A367927
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a(n) = Product_{k=1..n} (n^2 + k^2)^k.
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1
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1, 2, 320, 9856080, 111411200000000, 758912215744345000000000, 4641055652546245989752776320614400000, 35539706227151665491451514343890494014992000000000000, 453355203871266077337924186645041169745278527392553369600000000000000000
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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 + n/2 + 1/12) * n^(n*(n+1)) / exp(n^2/2 - 1/12).
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MATHEMATICA
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Table[Product[(k^2 + n^2)^k, {k, 1, 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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