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关于正整数不含分部量2的有序分拆的几个组合双射

郭育红 王汝军

浙江大学学报(理学版)2017,Vol.44Issue(3):261-265,5.
浙江大学学报(理学版)2017,Vol.44Issue(3):261-265,5.DOI:10.3785/j.issn.1008-9497.2017.03.002

关于正整数不含分部量2的有序分拆的几个组合双射

Several combinatorial bijections about compositions without 2's of positive integers

郭育红 1王汝军1

作者信息

  • 1. 河西学院 数学与统计学院, 甘肃 张掖 734000
  • 折叠

摘要

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.

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

Key words

compositions of positive integer/the conjugate of compositions/the self-inverse compositions/combinatorial bijection/relation

分类

数理科学

引用本文复制引用

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):261-265,5.

基金项目

国家自然科学基金资助项目(11461020). (11461020)

浙江大学学报(理学版)

OA北大核心CSCDCSTPCD

1008-9497

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