login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272247 a(n) = Product_{k=0..n} (n^4 + k^4). 4

%I #5 Jan 22 2019 08:53:11

%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. A255434, A272244, A272246, A272248, A323542.

%K nonn,easy

%O 0,2

%A _Vaclav Kotesovec_, Apr 23 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 25 05:13 EDT 2023. Contains 365582 sequences. (Running on oeis4.)