广义Jacobsthal数及其组合意义  

Generalized Jacobsthal number and its combinatorial meaning

作　　者：杨胜良[1] 任凤云 YANG Sheng-liang;REN Feng-yun(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》2021年第6期151-155,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11861045)。

摘　　要：引入了广义k阶Jacobsthal序列的概念,得到了k-Jacobsthal序列的发生函数以及相关的组合恒等式.通过研究两种格路的计数,给出了k-Jacobsthal数的两种组合解释.The concept of generalized Jacobsthal sequence of order k is introduced.The generating function of Jacobsthal sequence of order k and the related combinatorial identities are obtained.The enumerations of two classes of lattice paths are studied and the two combinatorial interpretations of Jacobsthal numbers of order k are given.

关 键 词：Jacobsthal数 k阶Jacobsthal序列 Riordan矩阵 发生函数 格路 A-矩阵 

分 类 号：O157.1[理学—数学]