Question 39
Determine all integers $C$ for which there exists a sequence $(a_1, a_2, ...)$ of positive integers satisfying
$$
a_{n+1}^2 = C + (n + 2021)a_n
$$
for all $n \ge 1$.
$$
a_{n+1}^2 = C + (n + 2021)a_n
$$
for all $n \ge 1$.
MathNet 2021 — Part 02 Question 39
Math Olympiad Vault · MathNet 2021 — Part 02