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!)
A203678 v(n+1)/v(n), where v=A203677. 2

%I #10 Sep 08 2023 06:29:57

%S 17,7954,23557648,249581834276,6985971879768576,428313101742584476552,

%T 50648802606721926260916224,10537561069087080809570265074448,

%U 3598422455223499123258044906373120000,1910287477970606754101128649923632473220896

%N v(n+1)/v(n), where v=A203677.

%C See A093883 for a discussion and guide to related sequences.

%F a(n) ~ 2^(n + 1/2) * (1 + sqrt(2))^(sqrt(2)*(n+1)) * exp((n+1)*Pi/sqrt(2) - 4*n) * n^(4*n). - _Vaclav Kotesovec_, Sep 08 2023

%t f[j_] := j^2; z = 12;

%t u[n_] := Product[f[j]^2 + f[k]^2, {j, 1, k - 1}]

%t v[n_] := Product[u[n], {k, 2, n}]

%t Table[v[n], {n, 1, z}] (* A203677 *)

%t Table[v[n + 1]/v[n], {n, 1, z}] (* A203678 *)

%t Table[Product[k^4 + (n + 1)^4, {k, 1, n}], {n, 1, 12}] (* _Vaclav Kotesovec_, Sep 08 2023 *)

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 04 2012

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 April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)