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A324437 a(n) = Product_{i=1..n, j=1..n} (i^4 + j^4). 7
2, 18496, 189567553208832, 53863903330477722171391434817536, 4194051697335929481600368256016484482740174637152337920000, 530545265060440849231458462212366841894726534233233018777709463062563850450708386692464640000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..6.

FORMULA

a(n) ~ c * 2^(n*(n+1)) * exp(Pi*n*(n+1)/sqrt(2) - 6*n^2) * (1 + sqrt(2))^(sqrt(2)*n*(n+1)) * n^(4*n^2 - 1), where c = A306620 = 0.23451584451404279281807143317500518660696293944961...

MATHEMATICA

Table[Product[i^4 + j^4, {i, 1, n}, {j, 1, n}], {n, 1, 6}]

CROSSREFS

Cf. A079478, A307215, A324403, A324426, A324438, A324439, A324440.

Sequence in context: A214544 A318716 A260252 * A158344 A319383 A124364

Adjacent sequences:  A324434 A324435 A324436 * A324438 A324439 A324440

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 28 2019

STATUS

approved

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Last modified December 2 05:01 EST 2021. Contains 349437 sequences. (Running on oeis4.)