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Magic squares of subtraction of order 4

Description: List of all 4x4 magic squares of subtraction found by computer search, as described in https://arxiv.org/abs/2002.08915 . An n×n square of subtraction is an arrangement of consecutive integers from 1 to n^2 in such a way that in every row, column and diagonal, if the entries are sorted in decreasing order, the difference between the sum of entries with odd indices and the sum of entries with even indices is constant. Such squares were introduced by A. A. Kochański SJ in 1686.
Authors: Fukś, Henryk; Brock University; ORCID iD 0000-0001-5855-3706
Keywords: magic square
quadrata subtractionis
Field of Research: 
Mathematics and statistics
>
Pure mathematics
>
Combinatorics and discrete mathematics
Publication Date: 2024-03-08
Publisher: Federated Research Data Repository / dépôt fédéré de données de recherche
URI: https://doi.org/10.20383/103.0903
Related Identifiers: 
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This dataset is a supplement to

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Access to this dataset is subject to the following terms:
Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/
Citation
Fukś, H. (2024). Magic squares of subtraction of order 4. Federated Research Data Repository. https://doi.org/10.20383/103.0903