| 广义Jacobsthal数及其组合意义 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 杨胜良 任凤云 |
| |
| 作者单位： | 兰州理工大学 理学院, 甘肃 兰州 730050 |
| |
| 基金项目： | 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.
|
| 关 键 词： | Jacobsthal数 k阶Jacobsthal序列 Riordan矩阵 发生函数 格路 A-矩阵 |
| 收稿时间： | 2020-11-13 |
Generalized Jacobsthal number and its combinatorial meaning |
| |
| YANG Sheng-liang,REN Feng-yun.Generalized Jacobsthal number and its combinatorial meaning[J].Journal of Lanzhou University of Technology,2021,47(6):151. |
| |
| Authors: | YANG Sheng-liang REN Feng-yun |
| |
| Institution: | School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China |
| |
| Abstract: | 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. |
| |
| Keywords: | Jacobsthal number Jacobsthal sequence of order k Riordan array generating function lattice path A-matrix |
|
| 点击此处可从《兰州理工大学学报》浏览原始摘要信息 |
| 点击此处可从《兰州理工大学学报》下载免费的PDF全文 |
