This material has been published in Austral. J. Combin. 50 (2011), 205-215, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Combinatorial Mathematics Society of Australasia Inc. This material may not be copied or reposted without explicit permission.

Peter J. Cameron, Christian Krattenthaler and Thomas W. Müller

A note on higher-dimensional magic matrices

(8 pages)

Abstract. We provide exact and asymptotic formulae for the number of unrestricted, respectively indecomposable, d-dimensional matrices where the sum of all matrix entries with one coordinate fixed equals 2.


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