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A272167 a(n) = Product_{k=0..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

Table of n, a(n) for n=1..9.

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}]

CROSSREFS

Cf. A272168.

Sequence in context: A176186 A332184 A221232 * A255269 A113896 A159706

Adjacent sequences:  A272164 A272165 A272166 * A272168 A272169 A272170

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Apr 21 2016

STATUS

approved

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Last modified September 22 16:01 EDT 2020. Contains 337291 sequences. (Running on oeis4.)