Generalized Schroder Matrices Arising from Enumeration of Lattice Paths

被引：3
|
作者：
Yang, Lin [1 ]
Yang, Sheng-Liang [1 ]
He, Tian-Xiao [2 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Illinois Wesleyan Univ, Dept Math, Bloomington, IL 61702 USA
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2020年 / 70卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Riordan array; lattice path; Delannoy matrix; Schroder number; Schroder matrix; RIORDAN ARRAYS; NUMBERS; IDENTITIES;
D O I：
10.21136/CMJ.2019.0348-18
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new family of generalized Schroder matrices from the Riordan arrays which are obtained by counting of the weighted lattice paths with stepsE= (1, 0),D= (1, 1),N= (0, 1), andD ' = (1, 2) and not going above the liney=x. We also consider the half of the generalized Delannoy matrix which is derived from the enumeration of these lattice paths with no restrictions. Correlations between these matrices are considered. By way of illustration, we give several examples of Riordan arrays of combinatorial interest. In addition, we find some new interesting identities.
引用
收藏
页码：411 / 433
页数：23
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