Question 175
Find all functions $f : \mathbb{N}^* \to \mathbb{N}^*$ such that
$$
f(n) + f(n+1) + f(f(n)) = 3n + 1, \text{ for all } n \in \mathbb{N}^*.
$$
$$
f(n) + f(n+1) + f(f(n)) = 3n + 1, \text{ for all } n \in \mathbb{N}^*.
$$
MathNet 2010 — Part 04 Question 175
Math Olympiad Vault · MathNet 2010 — Part 04