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Miklós Schweitzer 2003, Problem 6

Source: Miklós Schweitzer 2003

July 30, 2016
college contestsMiklos SchweitzerSequencesRecurrence

Problem Statement

Show that the recursion n=xn(xn−1+xn+xn+1)n=x_n(x_{n-1}+x_n+x_{n+1}), n=1,2,…n=1,2,\ldots, x0=0x_0=0 has exaclty one nonnegative solution.
(translated by L. Erdős)
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