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A272165
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a(n) = Product_{k=0..n} (k*n-k)^k.
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1
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0, 4, 6912, 1632586752, 92771293593600000, 1922167968750000000000000000, 20386493620375898676722605059420979200000, 147691962494584259939724821292542617401603191419699200000
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) ~ A * n^(n^2 + n + 1/12) / exp((n^2 + 2*n + 3)/4), where A = A074962 is the Glaisher-Kinkelin constant.
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MATHEMATICA
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Table[Product[(k*n-k)^k, {k, 1, n}], {n, 1, 10}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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