Find all integers $n > 2$ for which $(2n)! = (n-2)!n!(n+2)!$ .
Problem
Source: 1998 Estonia National Olympiad Final Round grade 12 p4
Tags: factorial, diophantine, Diophantine equation, number theory
Source: 1998 Estonia National Olympiad Final Round grade 12 p4
Tags: factorial, diophantine, Diophantine equation, number theory
Find all integers $n > 2$ for which $(2n)! = (n-2)!n!(n+2)!$ .