A323751 a(n) = Product_{k=0..n} (k^n + (n-k)^n).

2, 1, 32, 59049, 14101250048, 775913238525390625, 13410804447068120796679372800, 112244673425189306235795780017831813874289, 545831702006800417886454373052629612732034857946832699392

Offset: 0

Author

Seiichi Manyama, Jan 26 2019

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..27

Crossrefs

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

Cf. A323575, A323588.

Programs

Magma

[(&*[k^n +(n-k)^n: k in [0..n]]): n in [0..10]]; // G. C. Greubel, Feb 08 2019

Mathematica

Table[Product[k^n+(n-k)^n, {k,0,n}], {n,0,10}] (* G. C. Greubel, Feb 08 2019 *)

PARI

{a(n) = prod(k=0, n, k^n+(n-k)^n)}

Sage

[product(k^n +(n-k)^n for k in (0..n)) for n in (0..10)] # G. C. Greubel, Feb 08 2019

Formula

a(n) = n^n * A323588(n). - Vaclav Kotesovec, Feb 08 2019