有关正整数连续奇偶分拆问题的推广及应用  

Application of Partitions of Positive Integer as Sum of Continuous Even or Odd Numbers

作　　者：李宏奕[1] 

机构地区：[1]广州市广播电视大学侨光分校,广东广州510150

出　　处：《广州广播电视大学学报》2012年第2期99-105,112,共7页Journal of Guangzhou Open University

摘　　要：正整数n的分拆是指将正整数n表示成一个或几个正整数的无序和。不同的分拆方式数称为分拆数。该问题是组合数学、图论、数论研究的一个重要的课题。时至今日正整数分拆已经发展成一种完整理论。Partition of a positive integer n means that it can be represented by an unordered sum of one or several positive integers. Number of different partitions is equal to the partition number. Issue of a positive integer partition has already evolved into an independent theory, and become one of the most important themes in research of Combinatorics, Graphic Studies and Number Studies.

关 键 词：正整数 分拆 分拆数 等差分拆 

分 类 号：O157[理学—数学]