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A323541
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a(n) = Product_{k=0..n} (k^3 + (n-k)^3).
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14
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0, 1, 128, 59049, 51380224, 80869140625, 207351578198016, 811509810302822449, 4603095542875667038208, 36344623587588604291790241, 386644580358400000000000000000, 5395532942025804980378907333844441, 96578621213529440721046520779140759552
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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(2*(Pi/(3*sqrt(3))-1)*n) * n^(3*n + 3).
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MATHEMATICA
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Table[Product[k^3+(n-k)^3, {k, 0, n}], {n, 0, 15}]
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PROG
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(PARI) m=3; vector(15, n, n--; prod(k=0, n, k^m + (n-k)^m)) \\ G. C. Greubel, Jan 18 2019
(Magma) m:=3; [(&*[k^m + (n-k)^m: k in [0..n]]): n in [0..15]]; // G. C. Greubel, Jan 18 2019
(Sage) m=3; [product(k^m +(n-k)^m for k in (0..n)) for n in (0..15)] # G. C. Greubel, Jan 18 2019
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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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