k-色斜路的计数

卢青林

doi:10.3969/j.issn.1000-5641.2015.03.005

k-色斜路的计数

doi: 10.3969/j.issn.1000-5641.2015.03.005

卢青林^,

1.
江苏师范大学数学与统计学院, 江苏徐州 221116

基金项目:

国家自然科学基金(11171288, 11171150)

详细信息

作者简介:
卢青林, 男, 教授, 博士, 主要从事组合数学的研究.

通讯作者:
卢青林, 男, 教授, 博士, 主要从事组合数学的研究.

中图分类号: O157.1
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- 被引次数: 0
出版历程
- 收稿日期: 2014-08-16
- 刊出日期: 2015-05-25

Enumeration of k-colored skew Dyck path

LU Qing-lin^,

摘要

摘要: 本文研究k-色斜Dyck路的计数问题,给出半长为n的k-色斜Dyck路的数目s_n的计数公式、递推关系以及s_n/s_{n-1}的极限, 并对半长、左步数、峰数、谷数以及双升数等参数给出了k-色斜Dyck路相应的计数公式.
- Dyck路 /
- k-色斜Dyck路 /
- 计数 /
- Lagrange反演定理
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
- Dyck path k-colored skew Dyck path enumeration Lagrange inversion theorem /

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参考文献(1)

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