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f(1) = 1 , f(1)+ f(2)+...+ f(n) = n^2f(n), f(1995) =?

Source: Norwegian Mathematical Olympiad 1995 - Abel Competition p1a

February 11, 2020
algebrafunction

Problem Statement

Let a function ff satisfy f(1)=1f(1) = 1 and f(1)+f(2)+...+f(n)=n2f(n)f(1)+ f(2)+...+ f(n) = n^2f(n) for all nāˆˆNn \in N. Determine f(1995)f(1995).
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