关于正整数有序分拆的一些恒等式和n-colour有序分拆的两个组合性质  

Some identities are relative to compositions and two combinatorial properties of n-colour compositions

作　　者：郭育红[1] 

机构地区：[1]河西学院数学系,甘肃张掖734000

出　　处：《纯粹数学与应用数学》2012年第5期590-594,613,共6页Pure and Applied Mathematics

基　　金：甘肃省高等学校研究生导师科研项目(200809-04);河西学院校长基金(XZ2011-01)

摘　　要：研究了正整数的无序分拆与有序分拆的关系.给出了正整数的无序分拆与有序分拆的一些恒等式.并且利用菲波拉契数与正整数n分拆成不含分部量1的有序分拆数的关系给出了n-colour有序分拆的两个组合性质.This paper discusses some relations between partitions and compositions of integers. As main results, some identities between partitions and compositions are obtained. Further, two combinatorial properties of the n-colour compositions, involving Fibonacci numbers and the number of compositions of n in with no part 1 appearing, are also presented.

关 键 词：分拆恒等式 n—colour有序分拆 组合性质 菲波拉契数 

分 类 号：O157[理学—数学]