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arxiv: 1406.7317 · v1 · pith:HSGNCQQFnew · submitted 2014-06-27 · 🧮 math.CO

Combinatorial Interpretation of General Eulerian Numbers

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keywords euleriannumbersgeneralcombinatorialinterpretationarithmeticauthorscombinatorially
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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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