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arXiv · 1601.07723

Non-overlapping matrices

Elena Barcucci·Antonio Bernini·Stefano Bilotta·Renzo Pinzani
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Abstract

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.

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Elena Barcucci, Antonio Bernini, Stefano Bilotta, Renzo Pinzani. 2016-01-28. Non-overlapping matrices. https://arxiv.org/abs/1601.07723

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