A320345 a(n) = Product_{k=0..n} (k^9 + (n-k)^9).

0, 1, 524288, 101957062669641, 27265063485978531856384, 106913106903205778598785400390625, 1052153174824916171740710027027385486934016, 50134911460309737788263856880351450247312603708106641, 6079819706045473432785376698707222441479676085024627875693723648

Offset: 0

Author

Vaclav Kotesovec, Jan 22 2019

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..64

Crossrefs

Cf. A323538, A323540, A323541, A323542, A323543, A323544, A323545, A323546.

Programs

Mathematica

Table[Product[k^9+(n-k)^9, {k, 0, n}], {n, 0, 10}]

Formula

a(n) ~ exp((4*Pi*(sqrt(3) + 6*sin(Pi/9))/9 - 8)*n) * n^(9*n+9).