A272164 a(n) = Product_{k=0..n} (n^2-k)!.

1, 1, 288, 53094139822080000, 7114507432973653690572666462301501337370624000000000000

Offset

0,3

Comments

The next term has 392 digits.

Links

Table of n, a(n) for n=0..4.

Formula

a(n) = A272163(n) * ((n^2)!)^(n+1) / A272179(n)^n.

a(n) ~ exp(1/24 + n/6 - n^2 - n^3) * n^(1 + n^2 + 2*n^3) * (2*Pi)^((n+1)/2).

Mathematica

Table[Product[(n^2-k)!, {k, 0, n}], {n, 0, 6}]
Table[BarnesG[n^2 + 2]/BarnesG[n^2 - n + 1], {n, 0, 6}]

Crossrefs

Cf. A272095, A272163, A272238, A272241.

Sequence in context: A291187 A296608 A306651 * A107739 A221203 A188367

Adjacent sequences: A272161 A272162 A272163 * A272165 A272166 A272167

Keyword

nonn,easy

Author

Vaclav Kotesovec, Apr 21 2016

Status

approved