完全中心Delannoy数  

The complete central Delannoy number

作　　者：杨胜良[1] 刘婷 YANG Sheng-liang;LIU Ting(School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2020年第4期150-153,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11561044)。

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.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.

关 键 词：格路 Riordan矩阵 A-矩阵 完全中心Delannoy数 

分 类 号：O157.1[理学—数学]