2009 OIM Problems/Problem 2

Problem

For each positive integer $n$ we define $a_n = n + m$ where $m$ is the largest integer such that $2^{2^m} \le n2^n$ . Find which positive integers do not appear in the sequence $a_n$ .

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

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2009 OIM Problems/Problem 2

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