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A324439
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a(n) = Product_{i=1..n, j=1..n} (i^6 + j^6).
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8
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1, 2, 1081600, 528465082730906880000, 29276520893554373473343522853366005760000000000, 5719545329208791496596894540018824083491259163047733746620041978183680000000000000000
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internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ c * 2^(n*(n+1)) * (2 + sqrt(3))^(sqrt(3)*n*(n+1)) * exp(Pi*n*(n+1) - 9*n^2) * n^(6*n^2 - 3/2), where c = 0.104143806044091748191387307161835081649...
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MAPLE
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a:= n-> mul(mul(i^6 + j^6, i=1..n), j=1..n):
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MATHEMATICA
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Table[Product[i^6 + j^6, {i, 1, n}, {j, 1, n}], {n, 1, 6}]
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PROG
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(Python)
from math import prod, factorial
def A324439(n): return (prod(i**6+j**6 for i in range(1, n) for j in range(i+1, n+1))*factorial(n)**3)**2<<n # Chai Wah Wu, Nov 26 2023
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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