Question 29
The sequence $\{a_n\}$ of positive integers is such that
(1) $a_n \leq n^{3/2}$ for all $n$, and
(2) $m - n$ divides $a_m - a_n$ (for all $m \gt n$).
Find $a_n$.
(1) $a_n \leq n^{3/2}$ for all $n$, and
(2) $m - n$ divides $a_m - a_n$ (for all $m \gt n$).
Find $a_n$.