Pascal菱形与Riordan矩阵

Pascal rhombus and Riordan array

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摘要利用2-Motzkin路得到了Pascal菱形的Riordan矩阵表示,利用加权2-Motzkin路及3-Motzkin路给出几种广义的Pascal菱形及其Riordan矩阵表示. Riordan array representation of Pascal rhombus is obtained with 2-Motzkin paths and several generalized Pascal rhombus and their Riordan array representation are given out with weighted 2-Motzkin paths and 3-Motzkin paths.

作者杨胜良高圆圆 YANG Sheng-liang;GAO Yuan-yuan(School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China)

机构地区兰州理工大学理学院

出处《兰州理工大学学报》 CAS 北大核心 2020年第2期150-154,共5页 Journal of Lanzhou University of Technology

基金国家自然科学基金(11561044)。

关键词 Pascal菱形 Riordan矩阵 2-Motzkin路 Pascal rhombus Riordan array 2-Motzkin path

分类号 O157.1 [理学—基础数学]

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二级参考文献10

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共引文献3

1杨胜良,常文龙.Riordan矩阵与组合恒等式[J].兰州理工大学学报,2019,45(6):153-156.
2李彦君,杨胜良.加权Motzkin序列的Hankel行列式[J].纯粹数学与应用数学,2017,33(1):26-36. 被引量：2
3耿康,晁福刚,任韩.Catalan数在一类特殊的数学结构计数的应用[J].应用数学进展,2016,5(3):381-389.

1王在华.农夫过河问题新解[J].数学的实践与认识,2020,0(1):270-274. 被引量：1
2赵雯,邢会歌,李玉瑶.公租房PPP项目中民营部门的投资决策研究[J].价值工程,2020,39(10):60-62.

兰州理工大学学报

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Pascal菱形与Riordan矩阵

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