Question 38
Determine all sequences $(a_1, a_2, ...)$ of positive integers satisfying
$$ a_{n+1}^2 = 1 + (n + 2021)a_n $$
for all $n \ge 1$.
$$ a_{n+1}^2 = 1 + (n + 2021)a_n $$
for all $n \ge 1$.
MathNet 2021 — Part 02 Question 38
Math Olympiad Vault · MathNet 2021 — Part 02