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
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)