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A323661
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a(n) = Product_{k=0..n} (k^12 + (n-k)^12).
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4
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0, 1, 33554432, 4740695283514005729, 651240623131512957219821846528, 4811704081770214536604871809482574462890625, 84537031377296019762303015000377965680906643309559021568, 16210797840416801857079558076889164370156937375891800497483902744790721
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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) ~ exp((Pi*(-5/2 + 2*sqrt(6) + sqrt(2*(5-2*sqrt(6))/3)) - 12)*n) * n^(12*n+12).
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MATHEMATICA
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Table[Product[k^12+(n-k)^12, {k, 0, n}], {n, 0, 10}]
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CROSSREFS
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Cf. A323540, A323541, A323542, A323543, A323544, A323545, A323546, A320345, A323659, A323660, A323662.
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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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