MathNet 2018-part-05 — 181 problems (EN–VI) Question 163

Determine all sequences $a_1, a_2, a_3, \dots$ of nonnegative integers such that $a_1 \lt a_2 \lt a_3 \lt \dots$ and $a_n$ divides $a_{n-1} + n$ for all $n \ge 2$.