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TH-TMO 2011 Problem 10

    Does there exists a function f:N⟶Nf : \mathbb{N} \longrightarrow \mathbb{N} \begin{align*} f \left( m+ f(n) \right) = f(m) +f(n) + f(n+1) \end{align*} for all m,n∈Nm,n \in \mathbb{N} ?

    Dataset text AI-MO AoPS. Quoted with source.

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