A Generalization of the $k$-Bonacci Sequence from Riordan Arrays

Electronic Journal Of Combinatorics

José L. Ramírez¹ 

关键词: Riordan arrays;    $k$-bonacci sequence;    lattice paths;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

In this article, we introduce  a family of weighted lattice paths, whose step set is $\{H=(1,0), V=(0,1), D_1=(1,1), \dots, D_{m-1}=(1,m-1)\}$. Using these lattice paths, we define a family of Riordan arrays whose sum on the rising diagonal is the $k$-bon

【 授权许可】

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