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arXiv · 1702.04177

Enumeration of Carlitz Multipermutations

Henrik Eriksson·Alexis Martin
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Abstract

A multipermutation with $k$ copies each of $1\ldots n$ is Carlitz if neighbours are different. We enumerate these objects for $k=2,3,4$ and derive recurrences. In particular, we prove and improve a conjectured recurrence for $k=3$, stated in OEIS, the Online Encyclopedia of Integer Sequences.

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Henrik Eriksson, Alexis Martin. 2017-02-16. Enumeration of Carlitz Multipermutations. https://arxiv.org/abs/1702.04177

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