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!)
A203690 v(n+1)/v(n), where v=A203689. 2
5, 1480, 204811920, 44845458424326144, 38524837563190678680163123200, 274281830629678279850073754564550983680000000, 30490404582529065278831553253825833486757227887272069693440000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A093883 for a discussion and guide to related sequences.
LINKS
FORMULA
From Vaclav Kotesovec, Nov 21 2023: (Start)
a(n) ~ (n+1)!^(2*n).
a(n) ~ (2*Pi)^n * n^(2*n^2 + 3*n) / exp(2*n^2 - 13/6). (End)
MATHEMATICA
f[j_] := j!; z = 8;
u[n_] := Product[f[j]^2 + f[k]^2, {j, 1, k - 1}]
v[n_] := Product[u[n], {k, 2, n}]
Table[v[n], {n, 1, z}] (* A203689 *)
Table[v[n + 1]/v[n], {n, 1, z}] (* A203690 *)
Table[Product[k!^2 + (n+1)!^2, {k, 1, n}], {n, 1, 10}] (* Vaclav Kotesovec, Nov 21 2023 *)
CROSSREFS
Sequence in context: A332536 A172920 A062598 * A304425 A316280 A305959
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 February 29 17:50 EST 2024. Contains 370428 sequences. (Running on oeis4.)