A132465 - OEIS

A132465

Let df(n,k) = Product_{i=0..k-1} (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)^2*(2*n-m)/((m-1)!*m!). Sequence gives P(7,n).

0, 0, 0, 0, 0, 0, 1, 63, 1232, 13104, 94500, 518364, 2317392, 8833968, 29630601, 89464375, 247351104, 634542272, 1526183568, 3470399856, 7511688000, 15564217536, 31016698713, 59686024167, 111284511184, 201628350000, 355896440900, 613353440700, 1034083486800