tmohs11tdos

f_{1}(x) = x,f_{n+1}=n \left(\int_{0}^{x} f(t)\,dt - x \int_{0}^{1} f_{n}(t)\,dt \right)\Rightarrow f_{n}(m) = \Sum_{k=0}^{m-1}k^{n-1}

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