A376524 a(n) = Product_{k=0..n} (k^4 + n - k).

0, 1, 64, 12393, 6045696, 6332640625, 12659332976640, 44231711221193265, 252488580811970314240, 2232657903505428925782561, 29296905512056326144000000000, 550664857114160034501954633273625, 14393639721143326652705447551696896000

Offset: 0

Author

Vaclav Kotesovec, Sep 26 2024

Keywords

• nonn

Crossrefs

Cf. A323542, A374881, A376523.

Programs

Mathematica

Table[Product[k^4+n-k, {k, 0, n}], {n, 0, 16}]

Formula

a(n) ~ exp(sqrt(2)*Pi*n^(1/4) - 4*n) * n^(4*n + 5/2).