A272166 a(n) = Product_{k=0..n} (k*n-k)!.

1, 1, 2, 34560, 750902834626560000, 23594617426193665303453830729600860160000000000

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