A272180 a(n) = Product_{k=0..n} (n^2 + k).

0, 2, 120, 11880, 1860480, 427518000, 135970773120, 57274321104000, 30885807297945600, 20759078324729606400, 17018214378110225280000, 16716468557742686853120000, 19383353274717848149493760000, 26198415087179810897268887040000, 40828604361516687201839617904640000

Offset: 0

Author

Vaclav Kotesovec, Apr 21 2016

Keywords

• nonn
• easy

Crossrefs

Cf. A272163, A272179, A272237, A272238.

Programs

Mathematica

Table[Product[n^2 + k, {k, 0, n}], {n, 0, 15}]
Table[n^2*Pochhammer[1 + n^2, n], {n, 0, 15}]

Formula

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