含有一个奇因数的正整数的等差分拆

Equal Allowance Partition of Positive Integer With Odd Factor

正整数n的分拆是指将正整数n表示成一个或多个正整数的无序和.而等差分拆是一种有限制条件的分拆.在这方面的研究有一些结果(见文献[4]-[6]),文章将文献[6]给出的一种形如N=2rdm(2r+1)的条件拓宽了一些,仍得到类似的结果.并推出了文献[5]中的一个结论.

A partition of a positive integer n is representation ofn as an unordered sum of one or more positive integers. The equal allowance partition is a partition with restricted condition, There are some conclusions in this field（refer to ｜4｜｜6｜）. This paper gets the similar conclusion when loosening the condition in the equal allowance partition of N =2rdm（2r＋ 1） in paper｜6｜. It also refers a conclusion which is the theorem in paper｜5｜.