A323662 a(n) = Product_{k=0..n} (k^13 + (n-k)^13).

0, 1, 134217728, 170623376651175378921, 187556828900191806607614608932864, 17233921359224498311699145473539829254150390625, 3651108402083969086976039852657366429953837378356052425179136

Offset: 0

Author

Vaclav Kotesovec, Jan 23 2019

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..48

Crossrefs

Cf. A323540, A323541, A323542, A323543, A323544, A323545, A323546, A320345, A323659, A323660, A323661.

Programs

Mathematica

Table[Product[k^13+(n-k)^13, {k, 0, n}], {n, 0, 10}]

Formula

a(n) ~ exp((2*Pi*sqrt((2699 - 1920*cos(2*Pi/13) + 4184*cos(3*Pi/13) - 4512*sin(Pi/26) + 4752*sin(3*Pi/26) - 2944*sin(5*Pi/26))/13) / 13 - 12)*n) * n^(13*n+13).