A375840 a(n) = Product_{k=0..n} (k^3 + n).

0, 2, 60, 3960, 505920, 111945600, 39501498960, 20891200176000, 15785674348953600, 16407441209402496000, 22748452701706791576000, 41018285140626186366336000, 94161166261926730618189824000, 270252010494895412092926136320000, 954766647796042233397162343121696000

Offset: 0

Author

Vaclav Kotesovec, Aug 31 2024

Keywords

• nonn

Crossrefs

Cf. A073017, A255433.

Cf. A375839, A375841, A375842, A375843, A375844, A375845.

Programs

Mathematica

Table[Product[k^3 + n, {k, 0, n}], {n, 0, 15}]

Formula

a(n) ~ n^(3*n + 2) / exp(3*n - 2*Pi*n^(1/3)/sqrt(3)).