源自赋权 2-Motzkin 路的组合恒等式及其应用

J4 ›› 2012, Vol. 47 ›› Issue (6): 90-94.

源自赋权 2-Motzkin 路的组合恒等式及其应用

孙毅¹,苏贵福²

1. 新疆大学数学与系统科学学院, 新疆乌鲁木齐 830046; 2. 北京理工大学数学学院, 北京 100081

收稿日期:2010-06-18 出版日期:2012-06-20 发布日期:2012-06-26
作者简介:孙毅(1984- ),男，讲师，硕士，研究方向为组合数学.Email: brianys1984@126.com

An identity in terms of 2-Motzkin paths and its applications

SUN Yi^1, SU Gui-fu²

1. School of Mathematics and System Science, Xinjiang University, Urumqi 830046， Xinjiang， China;
2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received:2010-06-18 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

摘要：

推广了Coker用代数方法证明的一个组合恒等式, 在此基础上得到一些与Narayana和Catalan数相关的恒等式。

关键词: 2-Motzkin路; Dyck路; Narayana数; Catalan数; 双射

Abstract:

One of the identities of Coker is generalized, which is proved by an algebraic method. Some useful identities related to Narayana number and Catalan number are also presented.

Key words: 2-Motzkin path; Dyck path; Narayana number; Catalan number; bijection

孙毅1,苏贵福2. 源自赋权 2-Motzkin 路的组合恒等式及其应用[J]. J4, 2012, 47(6): 90-94.

SUN Yi1, SU Gui-fu2. An identity in terms of 2-Motzkin paths and its applications[J]. J4, 2012, 47(6): 90-94.

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