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A272165 a(n) = Product_{k=0..n} (k*n-k)^k. 1
0, 4, 6912, 1632586752, 92771293593600000, 1922167968750000000000000000, 20386493620375898676722605059420979200000, 147691962494584259939724821292542617401603191419699200000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..8.

FORMULA

a(n) ~ A * n^(n^2 + n + 1/12) / exp((n^2 + 2*n + 3)/4), where A = A074962 is the Glaisher-Kinkelin constant.

MATHEMATICA

Table[Product[(k*n-k)^k, {k, 1, n}], {n, 1, 10}]

CROSSREFS

Cf. A272166.

Sequence in context: A079232 A137045 A077258 * A304994 A058440 A058464

Adjacent sequences:  A272162 A272163 A272164 * A272166 A272167 A272168

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Apr 21 2016

STATUS

approved

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Last modified August 7 23:38 EDT 2020. Contains 336279 sequences. (Running on oeis4.)