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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
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
KEYWORD
nonn,easy
AUTHOR
Vaclav Kotesovec, Apr 21 2016
STATUS
approved

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Last modified April 21 01:36 EDT 2024. Contains 371850 sequences. (Running on oeis4.)