CR-MO 2017 F1

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 $f (2017)$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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