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A272096
a(n) = Product_{k=0..n} (k*n)!.
1
1, 1, 48, 1567641600, 9698137182219213471744000000, 21488900044302744250061179567064173417691432878080000000000000000
OFFSET
0,3
COMMENTS
The next term has 126 digits.
FORMULA
a(n) ~ A^n * n^(1/4 + 13*n/12 + n^2 + n^3) * (2*Pi)^(1/4 + n/2) / exp(n*(2 + 2*n + 3*n^2)/4), where A = A074962 is the Glaisher-Kinkelin constant.
MATHEMATICA
Table[Product[(k*n)!, {k, 0, n}], {n, 0, 6}]
KEYWORD
nonn,easy
AUTHOR
Vaclav Kotesovec, Apr 20 2016
STATUS
approved