A272247 a(n) = Product_{k=0..n} (n^4 + k^4).

0, 2, 8704, 104372388, 3087748038656, 194985808028125000, 23467500289618753093632, 4938279594477505466022892304, 1699491802948673617630927695904768, 907214902722906584628050661111614570016, 719684491044699824651608981274624000000000000

Offset: 0

Author

Vaclav Kotesovec, Apr 23 2016

Keywords

• nonn
• easy

Crossrefs

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

Cf. A255434, A323542.

Programs

Mathematica

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

Formula

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