| 关于正整数不含分部量2的有序分拆的几个组合双射 |
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| 引用本文： | 郭育红,王汝军. 关于正整数不含分部量2的有序分拆的几个组合双射[J]. 浙江大学学报(理学版), 2017, 44(3): 261-265. DOI: 10.3785/j.issn.1008-9497.2017.03.002 |
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| 作者姓名： | 郭育红 王汝军 |
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| 作者单位： | 河西学院 数学与统计学院, 甘肃 张掖 734000 |
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| 基金项目： | 国家自然科学基金资助项目（11461020）. |
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| 摘 要： | 利用正整数有序分拆的共轭分拆,分别给出了偶数2k、奇数2k+1和正整数n的不含分部量2的自反的有序分拆数的递推关系式的组合双射证明.此外,还给出了NAGI关于正整数n不含分部量2的有序分拆数的一个恒等式的不同组合双射.
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| 关 键 词： | 正整数的有序分拆 共轭分拆 自反的有序分拆 组合双射 关系式 |
| 收稿时间： | 2015-11-02 |
Several combinatorial bijections about compositions without 2's of positive integers |
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| GUO Yuhong,WANG Rujun. Several combinatorial bijections about compositions without 2's of positive integers[J]. Journal of Zhejiang University(Sciences Edition), 2017, 44(3): 261-265. DOI: 10.3785/j.issn.1008-9497.2017.03.002 |
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| Authors: | GUO Yuhong WANG Rujun |
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| Affiliation: | School of Mathematics and Statistics, Hexi University, Zhangye 734000, Gansu Province, China |
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| Abstract: | Using the conjugate of compositions, we present combinatorial bijective proofs of the recurrence relation of the self-inverse compositions without 2's of even 2k, 2's of odd 2k+1, and without 2's of positive integer n, respectively. In addition, we also obtain the combinatorial bijection of an identity which was obtained by MUNAGI relating to the number of the compositions without 2's of positive integer n. The methods used in this paper are different from the proofs of MUNAGI. |
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| Keywords: | compositions of positive integer the conjugate of compositions the self-inverse compositions combinatorial bijection relation |
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