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A272167 a(n) = Product_{k=2..n} (k^2-k)^k. 1
1, 4, 864, 17915904, 57330892800000, 41794220851200000000000, 9635211808655307020697600000000000, 931891782579353562478377930946353561600000000000, 48457159197906991133853954271145046614004301737177907200000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) ~ A^2 * sqrt(2*Pi) * n^(n^2 + n - 1/3) / exp(n*(n+2)/2), where A = A074962 is the Glaisher-Kinkelin constant.
MATHEMATICA
Table[Product[(k^2-k)^k, {k, 2, n}], {n, 1, 10}]
PROG
(PARI) a(n) = prod(k=2, n, (k^2-k)^k); \\ Michel Marcus, Nov 18 2021
CROSSREFS
Cf. A272168.
Sequence in context: A176186 A332184 A221232 * A255269 A113896 A159706
KEYWORD
nonn,easy
AUTHOR
Vaclav Kotesovec, Apr 21 2016
EXTENSIONS
Definition corrected by Georg Fischer, Nov 18 2021
STATUS
approved

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Last modified February 21 20:29 EST 2024. Contains 370237 sequences. (Running on oeis4.)