Let $f: Z ^+ \to R$, such that $f (1) = 2018$ and $f (1) + f (2) + ...+ f (n) = n^2f (n)$, for all $n> 1$. Find the value $f (2017)$.
Problem
Source: OLCOMA Costa Rica National Olympiad, Final Round, 2017 Shortlist F1 day2 (F = Functional)
Tags: algebra, functional equation, functional