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一类不含分部量2的有序分拆

郭育红

吉林大学学报(理学版)2018,Vol.56Issue(2):233-236,4.
吉林大学学报(理学版)2018,Vol.56Issue(2):233-236,4.DOI:10.13413/j.cnki.jdxblxb.2018.02.08

一类不含分部量2的有序分拆

A Kind of Compositions without 2's

郭育红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

By using combinatorial bij ective method,the author studied the compositions of the mutual conj ugate partition of positive integers without 2's,and obtained a relation between the number of these compositions and the Fibonacci number.Consequently,the author gave several identities about the number of these compositions,the number of compositions into parts equal to 1 or 2,the number of compositions into odd parts and the number of compositions into parts greater than 1.

关键词

有序分拆/Fibonacci数/恒等式/组合双射

Key words

compositions/Fibonacci number/identity/combinatorial bij ective

分类

数理科学

引用本文复制引用

郭育红..一类不含分部量2的有序分拆[J].吉林大学学报(理学版),2018,56(2):233-236,4.

基金项目

国家自然科学基金(批准号:11461020). (批准号:11461020)

吉林大学学报(理学版)

OA北大核心CSTPCD

1671-5489

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