| 具有限制条件的Motzkin路的计数问题 |
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| 引用本文： | 李萃萃.具有限制条件的Motzkin路的计数问题[J].韶关学院学报,2011,32(8). |
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| 作者姓名： | 李萃萃 |
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| 作者单位： | 韶关学院数学与信息科学学院,广东韶关,512005 |
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| 摘 要： | 在原有Motzkin路的基础上,构造具有限制条件的Motzkin路：从原点出发,在直线y=m上方连续步长的最大值小于事先给定的正整数t,最终回到任意直线y=l的路,其中l是小于m∈N＋的非负整数.并推导出在此限制条件下从（0,0）到（n,l）的Motzkin路的计数公式.
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| 关 键 词： | Motzkin路 生成函数 计数公式 |
Enumeration on restricted Motzkin paths |
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| LI Cui-cui.Enumeration on restricted Motzkin paths[J].Journal of Shaoguan University(Social Science Edition),2011,32(8). |
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| Authors: | LI Cui-cui |
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| Institution: | LI Cui-cui(College of Mathematics and Information Sciences,Shaoguan University,Shaoguan 512005,Guangdong,China) |
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| Abstract: | Based on the original Motzkin paths, author discussed the restricted Motakin paths which start from the origin and finally return to the line y=l such that the maximal number of continuous steps above the line y= m is less that a given positive integer, where l is a nonnegative integer which is less than m ∈ N^＋. At last, author derived it＇s enumerative formulas. |
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| Keywords: | Motzkin path generating function enumerative formulas |
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