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A272166 a(n) = Product_{k=0..n} (k*n-k)!. 2
1, 1, 2, 34560, 750902834626560000, 23594617426193665303453830729600860160000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The next term has 97 digits.

LINKS

Table of n, a(n) for n=0..5.

FORMULA

a(n) ~ A^(n-1) * n^(1/6 + n/12 + n^3) * (2*Pi)^(n/2 + 1/4) / exp((2 + 3*n + 3*n^2 + 9*n^3)/12), where A = A074962 is the Glaisher-Kinkelin constant.

MATHEMATICA

Table[Product[(k*n-k)!, {k, 0, n}], {n, 0, 8}]

CROSSREFS

Cf. A272165.

Sequence in context: A001377 A206854 A330304 * A291881 A257968 A303738

Adjacent sequences:  A272163 A272164 A272165 * A272167 A272168 A272169

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Apr 21 2016

STATUS

approved

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Last modified September 19 21:42 EDT 2020. Contains 337184 sequences. (Running on oeis4.)