The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A203694 v(n+1)/v(n), where v=A203693. 2
7, 837, 546364, 1193379075, 6644086647237, 79301495255509072, 1800387492184752516864, 71233673448265142887288125, 4594697931876986561881103171875, 458419756376283291989575799311713024 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A093883 for a discussion and guide to related sequences.
LINKS
FORMULA
a(n) ~ (2 + sqrt(3))^(sqrt(3)*(2*n+3)/2) * exp((Pi/2 - 4)*n + 3*Pi/4) * n^(4*n) / 2^(2*n). - Vaclav Kotesovec, Nov 21 2023
MATHEMATICA
f[j_] := j (j + 1)/2; z = 11;
u[n_] := Product[f[j]^2 - f[j] f[k] + f[k]^2,
{j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}] (* A203693 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203694 *)
Table[Product[k^2*(k + 1)^2/4 - k*(k + 1)*(n + 1)*(n + 2)/4 + (n + 1)^2*(n + 2)^2/4, {k, 1, n}], {n, 1, 10}] (* Vaclav Kotesovec, Nov 21 2023 *)
CROSSREFS
Sequence in context: A279120 A047788 A251698 * A269896 A087350 A308296
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 04 2012
STATUS
approved

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 June 14 21:35 EDT 2024. Contains 373401 sequences. (Running on oeis4.)