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Eulerian Composition of Certain Franklin Squares

2017/03/19 by R. P. Nordgren, Ronald P. Nordgren, Nordgren, Ronald P.
Mathematics · #05B15 #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.NT #msc:05B15

paper · pdf · doi:10.48550/arxiv.1703.06488

15 pages, 4 figures

openalex publication_date 2017/03/19 · arxiv created 2018/03/01 · arxiv updated 2018/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Several specific Franklin squares and magic squares are decomposed into their quotient and remainder squares. The results support the conjecture that Franklin used the Eulerian composition method to construct many of his squares. This method also can be used to construct new Franklin squares as illustrated herein.

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