A323661 a(n) = Product_{k=0..n} (k^12 + (n-k)^12).

0, 1, 33554432, 4740695283514005729, 651240623131512957219821846528, 4811704081770214536604871809482574462890625, 84537031377296019762303015000377965680906643309559021568, 16210797840416801857079558076889164370156937375891800497483902744790721

Offset: 0

Author

Vaclav Kotesovec, Jan 23 2019

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..51

Crossrefs

Cf. A323540, A323541, A323542, A323543, A323544, A323545, A323546, A320345, A323659, A323660, A323662.

Programs

Mathematica

Table[Product[k^12+(n-k)^12, {k, 0, n}], {n, 0, 10}]

Formula

a(n) ~ exp((Pi*(-5/2 + 2*sqrt(6) + sqrt(2*(5-2*sqrt(6))/3)) - 12)*n) * n^(12*n+12).