A272164 - OEIS

A272164

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

1, 1, 288, 53094139822080000, 7114507432973653690572666462301501337370624000000000000

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OFFSET

0,3

COMMENTS

The next term has 392 digits.

LINKS

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

KEYWORD

nonn,easy

AUTHOR

STATUS

approved