A375843 a(n) = Product_{k=0..n} (k^6 + n).

0, 2, 396, 588528, 4087208000, 97390176449400, 6465177278417919600, 1030450155933504769261568, 352805275175791344554903371776, 238031797291547406166218644352900000, 295416986525310718941438520613968960376000

Offset: 0

Author

Vaclav Kotesovec, Aug 31 2024

Keywords

• nonn

Crossrefs

Cf. A258871, A354054.

Cf. A375839, A375840, A375841, A375842, A375844, A375845.

Programs

Mathematica

Table[Product[k^6 + n, {k, 0, n}], {n, 0, 15}]

Formula

a(n) ~ n^(6*n + 7/2) / exp(6*n - 2*Pi*n^(1/6)).