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A323542
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a(n) = Product_{k=0..n} (k^4 + (n-k)^4).
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14
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0, 1, 512, 1896129, 14101250048, 242755875390625, 7888809923487203328, 452522453429009743939201, 42521926771106843499966758912, 6212193882217859346149080691430849, 1350441156698962215630405632000000000000, 421551664651621436548685508587919503984205889
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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*(sqrt(2) - 1/2) - 4)*n) * n^(4*n + 4).
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MATHEMATICA
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Table[Product[k^4+(n-k)^4, {k, 0, n}], {n, 0, 15}]
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PROG
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(Magma) [(&*[(k^4 + (n-k)^4): k in [0..n]]): n in [0..15]]; // Vincenzo Librandi, Jan 18 2019
(PARI) m=4; vector(15, n, n--; prod(k=0, n, k^m + (n-k)^m)) \\ G. C. Greubel, Jan 18 2019
(Sage) m=4; [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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