The number of "magic" squares and hypercubes

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dc.creatorBeck, Matthias
dc.creatorCohen, Moshe
dc.creatorCuomo, Jessica
dc.creatorGribelyuk, Paul
dc.date2002-01-02
dc.date2005-01-02
dc.date.accessioned2026-07-07T04:45:38Z
dc.date.available2026-07-07T04:45:38Z
dc.descriptionWe define a magic square to be a square matrix whose entries are nonnegative integers and whose rows, columns, and main diagonals sum up to the same number. We prove structural results for the number of such squares as a function of the size of the matrix and the line sum. We give examples for small sizes and show similar results for symmetric, pandiagonal magic squares, and magic hypercubes.
dc.description11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0201013
dc.identifierhttp://arxiv.org/abs/math/0201013
dc.identifierAmerican Mathematical Monthly 110, no. 8 (2003), 707-717
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63029
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject05A15, 52C07; 11H06, 11P21
dc.titleThe number of "magic" squares and hypercubes
dc.typetext

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