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ILL 1983 Problem 15

    Find all possible finite sequences {n0,n1,n2,…,nk}\{n_0, n_1, n_2, \ldots, n_k \} of integers such that for each i,ii, i appears in the sequence nin_i times (0≤i≤k).(0 \leq i \leq k).

    Dataset text AI-MO AoPS. Quoted with source.

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