General Mathematics


Non-Overlapping Matrices

Authors: Elena Barcucci, Antonio Bernini, Stefano Bilotta, Renzo Pinzani

Two matrices are said non-overlapping if one of them can not be put on the other one in a way such that the corresponding entries coincide. We provide a set of non-overlapping binary matrices and a formula to enumerate it which involves the k-generalized Fibonacci numbers. Moreover, the generating function for the enumerating sequence is easily seen to be rational.

Comments: 16 Pages.

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[v1] 2017-01-03 12:23:19

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