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How many numbers of the form ±1±2...±n are there?

Source: Romanian District Olympiad 2011, Grade IX, Problem 2

October 8, 2018
countingalgebra

Problem Statement

Let n n be a natural number. How many numbers of the form ±1±2±3±⋯±n \pm 1\pm 2\pm 3\pm\cdots\pm n are there?
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