Question 87
A sequence of positive integers $\{a_{n}\}$ is given by
$$
a_{0}=m \quad \text{ and } \quad a_{n+1}=a_{n}^{5}+487
$$
for all $n \geq 0$. Determine all values of $m$ for which the sequence contains as many square numbers as possible.
$$
a_{0}=m \quad \text{ and } \quad a_{n+1}=a_{n}^{5}+487
$$
for all $n \geq 0$. Determine all values of $m$ for which the sequence contains as many square numbers as possible.