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Found problems: 1

2024 Regional Olympiad of Mexico Southeast, 4
Tags: number theory , sequence , power of 2 , integer sums
Let \(n\) be a non-negative integer and define \(a_n = 2^n - n\). Determine all non-negative integers \(m\) such that \(s_m = a_0 + a_1 + \dots + a_m\) is a power of 2.