login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A272163
a(n) = Product_{k=0..n} (n^2-k)^k.
4
0, 12, 84672, 133937556480, 84132174409113600000, 31820251569524195280814080000000, 10171374668270380199596141241071328726876160000, 3665849746122305381874580384965936229566478146157181833052160000
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
LINKS
Table of n, a(n) for n=1..8.
FORMULA
a(n) =
A272164
(n) *
A272179
(n)^n / ((n^2)!)^(n+1).
a(n) ~ n^(n*(n+1)) / exp(n/3 + 5/8).
MATHEMATICA
Table[Product[(n^2-k)^k, {k, 0, n}], {n, 1, 10}]
Table[BarnesG[n^2 + 2] * (n-1)^n * n^n * Pochhammer[1 - n + n^2, n]^n / (((n^2)!)^(n+1) * BarnesG[n^2 - n + 1]), {n, 1, 10}]
CROSSREFS
Cf.
A272164
,
A272237
.
Sequence in context:
A134714
A127223
A076691
*
A289295
A289569
A051368
Adjacent sequences:
A272160
A272161
A272162
*
A272164
A272165
A272166
KEYWORD
nonn
,
easy
AUTHOR
Vaclav Kotesovec
, Apr 21 2016
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 April 24 11:49 EDT 2024. Contains 371936 sequences. (Running on oeis4.)