A272179 a(n) = Product_{k=0..n} (n^2 - k).

0, 0, 24, 3024, 524160, 127512000, 42072307200, 18183435621120, 9993927307714560, 6816310367682816000, 5653408585997652480000, 5606015030436835542528000, 6551662594343454506664345600, 8914054345090074511550572953600, 13970892529731225585461744812032000

Offset: 0

Author

Vaclav Kotesovec, Apr 21 2016

Keywords

• nonn
• easy

Crossrefs

Cf. A272163, A272164, A272180.

Programs

Mathematica

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

Formula

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