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A324439 a(n) = Product_{i=1..n, j=1..n} (i^6 + j^6). 5
2, 1081600, 528465082730906880000, 29276520893554373473343522853366005760000000000, 5719545329208791496596894540018824083491259163047733746620041978183680000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..5.

FORMULA

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...

MATHEMATICA

Table[Product[i^6 + j^6, {i, 1, n}, {j, 1, n}], {n, 1, 6}]

CROSSREFS

Cf. A079478, A324403, A324426, A324437, A324438, A324440.

Sequence in context: A052205 A170996 A051118 * A218169 A168535 A303433

Adjacent sequences:  A324436 A324437 A324438 * A324440 A324441 A324442

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 28 2019

STATUS

approved

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Last modified October 16 01:52 EDT 2021. Contains 348034 sequences. (Running on oeis4.)