Can we find out a characteristic equation for the recursion ----------
$ a_{n+2}=a_n \cdot (a_{n+1}+1)$ for $n \geq 0$ .
where $a_0=a$ ,$a_1=b$
EDIT: @dxiv correctly points out that since this is not a linear recurrence, hence the characteristic equation does not exist. But how do I solve the recurrence if there is no characteristic equation?