A272247 - OEIS

%I #11 Dec 04 2023 04:29:58

%S 0,2,8704,104372388,3087748038656,194985808028125000,

%T 23467500289618753093632,4938279594477505466022892304,

%U 1699491802948673617630927695904768,907214902722906584628050661111614570016,719684491044699824651608981274624000000000000

%N a(n) = Product_{k=0..n} (n^4 + k^4).

%F a(n) ~ 2^(n+1/2) * (1+sqrt(2))^(sqrt(2)*n) * n^(4*n + 4) / exp((4 - Pi/sqrt(2))*n).

%t Table[Product[n^4+k^4,{k,0,n}],{n,0,10}]

%Y Cf. A126804, A272244, A272246, A272248, A367823, A367833.

%Y Cf. A255434, A323542.

%K nonn,easy

%O 0,2

%A _Vaclav Kotesovec_, Apr 23 2016