login
This site is supported by donations to The OEIS Foundation.

 

Logo


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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 13:41 EDT 2019. Contains 328257 sequences. (Running on oeis4.)