完全中心Delannoy数

兰州理工大学学报 ›› 2020, Vol. 46 ›› Issue (4): 150-153.

完全中心Delannoy数

杨胜良, 刘婷

兰州理工大学理学院, 甘肃兰州 730050

收稿日期:2019-07-14 出版日期:2020-08-28 发布日期:2020-11-10
作者简介:杨胜良(1963-),男,甘肃静宁人,教授.
基金资助:
国家自然科学基金(11561044)

The complete central Delannoy number

YANG Sheng-liang, LIU Ting

School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2019-07-14 Online:2020-08-28 Published:2020-11-10

摘要/Abstract

摘要： 完全中心Delannoy数可以由Delannoy三角形或格路的计数定义,通过利用Riordan矩阵的A-矩阵得到了几类格路计数的Riordan矩阵表达式. 给出了完全中心Delannoy数的几类组合解释,并证明了这些矩阵与完全中心Delannoy数之间相互联系.

关键词: 格路, Riordan矩阵, A-矩阵, 完全中心Delannoy数

Abstract: The complete central Delannoy number can be defined by Delannoy triangle or counting of lattice path. By using A-matrix of Riordan matrix, the Riordan matrix expressions of several lattice paths are derived. Several combinatorial explanations of the complete central Delannoy numbers are given and the relationship between these matrices and the complete central Delannoy number is also considered.

Key words: Lattice path, Riordan matrix, A-matrix, the complete central Delannoy number

中图分类号:

O157.1

杨胜良, 刘婷. 完全中心Delannoy数[J]. 兰州理工大学学报, 2020, 46(4): 150-153.

YANG Sheng-liang, LIU Ting. The complete central Delannoy number[J]. Journal of Lanzhou University of Technology, 2020, 46(4): 150-153.

[1]	杨胜良,任凤云. 广义Jacobsthal数及其组合意义[J]. 兰州理工大学学报, 2021, 47(6): 151-155.
[2]	杨胜良, 高圆圆. Pascal菱形与Riordan矩阵[J]. 兰州理工大学学报, 2020, 46(2): 150-154.