Euler Coefficients and Restricted Dyck Paths

Heinrich Niederhausen; Shaun Sullivan

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arXiv · 0705.3065

Euler Coefficients and Restricted Dyck Paths

Heinrich Niederhausen·Shaun Sullivan

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Abstract

We consider the problem of enumerating Dyck paths staying weakly above the x-axis with a limit to the number of consecutive up steps, or a limit to the number of consecutive down steps. We use Finite Operator Calculus to obtain formulas for the number of all such paths reaching a given point in the first quadrant. All our results are based on the Eulerian coefficients.

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BibTeX RIS

Heinrich Niederhausen, Shaun Sullivan. 2007-05-21. Euler Coefficients and Restricted Dyck Paths. https://arxiv.org/abs/0705.3065

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