Journal of East China Normal University(Natural Science) >

2015 , Vol. 2015 >Issue 3: 31 - 37

DOI: https://doi.org/10.3969/j.issn.1000-5641.2015.03.005

Article

Enumeration of k-colored skew Dyck path

  • LU Qing-Lin
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Received date: 2014-08-16

  Online published: 2015-05-28

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Abstract

In this paper we study the enumeration of k-colored skew Dyck paths. We first give a counting formula and a recurrence for s_n and the limit of s_n/s_{n-1}. We then give the countingformulas of the $k$-colored skew Dyck paths with semilength naccording to the number of left steps and the number of peaks,
valleys and double rises

Key words： Dyck path; k-colored skew Dyck path; enumeration; Lagrange inversion theorem

Cite this article

LU Qing-Lin . Enumeration of k-colored skew Dyck path[J]. Journal of East China Normal University(Natural Science), 2015 , 2015(3) : 31 -37 . DOI: 10.3969/j.issn.1000-5641.2015.03.005

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