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A272247
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a(n) = Product_{k=0..n} (n^4 + k^4).
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4
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0, 2, 8704, 104372388, 3087748038656, 194985808028125000, 23467500289618753093632, 4938279594477505466022892304, 1699491802948673617630927695904768, 907214902722906584628050661111614570016, 719684491044699824651608981274624000000000000
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..10.
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FORMULA
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a(n) ~ 2^(n+1/2) * (1+sqrt(2))^(sqrt(2)*n) * n^(4*n + 4) / exp((4 - Pi/sqrt(2))*n).
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MATHEMATICA
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Table[Product[n^4+k^4, {k, 0, n}], {n, 0, 10}]
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CROSSREFS
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Cf. A255434, A272244, A272246, A272248, A323542.
Sequence in context: A272241 A171939 A104904 * A167748 A203755 A285692
Adjacent sequences: A272244 A272245 A272246 * A272248 A272249 A272250
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KEYWORD
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nonn,easy
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AUTHOR
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Vaclav Kotesovec, Apr 23 2016
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STATUS
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approved
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