A375842 a(n) = Product_{k=0..n} (k^5 + n).

0, 2, 204, 103320, 182819520, 886613565600, 9973411835945040, 230723130088707984000, 10026790739932043582668800, 762878670971305314645055065600, 96049580303627434572710125880376000, 19110279123993980912852049573590159155200

Offset: 0

Author

Vaclav Kotesovec, Aug 31 2024

Keywords

• nonn

Crossrefs

Cf. A307216, A255435.

Cf. A375839, A375840, A375841, A375843, A375844, A375845.

Programs

Mathematica

Table[Product[k^5 + n, {k, 0, n}], {n, 0, 15}]

Formula

a(n) ~ n^(5*n + 3) / exp(5*n - Pi * sqrt(2*(1+sqrt(5))) * n^(1/5) / 5^(1/4)).