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Sums of Consecutive Integers

Wai Yan Pong
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Abstract

A decomposition of a natural number n is a sequence of consecutive natural numbers that sums to n. We construct a one-to-one correspondence between the odd factors of a natural number and its decompositions. We study the decompositions by their lengths and introduce the concept of length spectrum. Also, we use diagrams to illustrate the ideas behind our proofs.

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Wai Yan Pong. 2007-01-04. Sums of Consecutive Integers. https://arxiv.org/abs/math/0701149

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