Some identities on the Catalan, Motzkin and Schroder numbers

被引：11
|
作者：
Deng, Eva Y. P. [1 ]
Yan, Wei-Jun [2 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Neusoft Inst Informat, Dept Fdn Courses, Dalian 116023, Peoples R China
来源：
DISCRETE APPLIED MATHEMATICS | 2008年 / 156卷 / 14期
关键词：
Catalan number; Motzkin number; Schroder number; Riordan group;
D O I：
10.1016/j.dam.2007.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some identities between the Catalan, Motzkin and Schroder numbers are obtained by using the Riordan group. We also present two combinatorial proofs for an identity related to the Catalan numbers with the Motzkin numbers and an identity related to the Schroder numbers with the Motzkin numbers, respectively. (C) 2007 Elsevier B.V. All rights reserved.
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页码：2781 / 2789
页数：9
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