A323751 - OEIS

%I #21 Sep 22 2025 16:01:31

%S 2,1,32,59049,14101250048,775913238525390625,

%T 13410804447068120796679372800,

%U 112244673425189306235795780017831813874289,545831702006800417886454373052629612732034857946832699392

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

%H Seiichi Manyama, <a href="/A323751/b323751.txt">Table of n, a(n) for n = 0..27</a>

%F a(n) = n^n * A323588(n). - _Vaclav Kotesovec_, Feb 08 2019

%t Table[Product[k^n+(n-k)^n, {k,0,n}], {n,0,10}] (* _G. C. Greubel_, Feb 08 2019 *)

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

%o (Magma) [(&*[k^n +(n-k)^n: k in [0..n]]): n in [0..10]]; // _G. C. Greubel_, Feb 08 2019

%o (SageMath) [product(k^n +(n-k)^n for k in (0..n)) for n in (0..10)] # _G. C. Greubel_, Feb 08 2019

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

%Y Cf. A323575, A323588.

%K nonn

%O 0,1

%A _Seiichi Manyama_, Jan 26 2019