Let $F(x)$ be a nonzero polynomial such that $(x−1)F(x+1) = (x+2)F(x)$ for every real $x$, and $(F(2))^2 = F(3)$. Then $F(72) = a/b$ , where $a$ and $b$ are relatively prime positive integers. Find $a+b$.
Gonitzoggoβ
mahir_2005