A103207 -id:A103207 - cp's OEIS frontend

A272241 a(n) = Product_{k=0..n} ((n^2 + k)! / (n^2 - k)!).

1, 2, 7200, 474211584000, 1981999450972492922880000, 1401219961854040654113268364083200000000000, 370389015130516478011776928922387124162707119541939129548800000000

Offset: 0

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Vaclav Kotesovec, Apr 23 2016

nonn
easy

The next term has 95 digits.

Cf. A103207, A272164, A272238, A371642.

Table[Product[(n^2+k)!/(n^2-k)!,{k,0,n}],{n,0,7}]
Table[BarnesG[n^2 - n + 1]*BarnesG[n^2 + n + 2]/(BarnesG[n^2 + 2]*BarnesG[n^2 + 1]), {n, 0, 6}]

a(n) = A272238(n) / A272164(n).

a(n) ~ exp(5/12) * n^(2*n*(n+1)).

cp's OEIS Frontend

A272241 a(n) = Product_{k=0..n} ((n^2 + k)! / (n^2 - k)!).

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