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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
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
Sequence in context: A134714 A127223 A076691 * A289295 A289569 A051368
KEYWORD
nonn,easy
AUTHOR
Vaclav Kotesovec, Apr 21 2016
STATUS
approved

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Last modified May 28 12:54 EDT 2024. Contains 372913 sequences. (Running on oeis4.)