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arXiv · 1406.7317

Combinatorial Interpretation of General Eulerian Numbers

Tingyao Xiong·Jonathan I. Hall·Hung-ping Tsao
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Abstract

Since 1950s, mathematicians have successfully interpreted the traditional Eulerian numbers and $q-$Eulerian numbers combinatorially. In this paper, the authors give a combinatorial interpretation to the general Eulerian numbers defined on general arithmetic progressions { a, a+d, a+2d,...}.

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Tingyao Xiong, Jonathan I. Hall, Hung-ping Tsao. 2014-06-27. Combinatorial Interpretation of General Eulerian Numbers. https://doi.org/10.1155/2014%2F870596

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