Riordan矩阵与广义的Pell路  

Riordan arrays and the generalized Pell walks

作　　者：邱凯捷 杨胜良[1] Qiu Kaijie;Yang Shengliang(School of Science,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《纯粹数学与应用数学》2021年第1期118-126,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(11561044)。

摘　　要：利用Riordan矩阵的A-矩阵得到几类广义Pell路的Riordan矩阵表达式,证明了这些矩阵的行和满足的递推关系,从而给出满足这些递推关系的序列的组合意义.最后将这些格路限制在直线x=y的上方,得出相应的Riordan矩阵表达式的一般形式.Some Riordan matrices of the generalized Pell walks are obtained by utilizing the Riordan array′s A-matrix, whose row sum will be satisfied the recursion involved the generalized Pell numbers.In this way, the combinatorial interpretation of the generalized Pell numbers is acquired. Finally, some Riordan matrixes of the generalized Pell walks which has no steps below the line x = y are obtained.

关 键 词：格路 Riordan矩阵 生成函数 Pell路 广义的Pell路 

分 类 号：O178[理学—数学]