Sums of Consecutive Integers

Details Sums of Consecutive Integers Sums of Consecutive Integers

2007-01-04

arxiv.org/abs/math/0701149v1

Mathematics

History and Overview

7 pages, 1 table, 3 figures. To appear in the College Journal of Mathematics, March 2007

Scientific paper

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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