关于项链问题的计数公式

On the Formulas of Enumeration in Necklace Problem

设m、n为正整数,f(m,n)表示用m种颜色的珠子做成的不同n-珠项链的数目,g(m,n)表示用m颗红珠和n颗白珠做成的不同项链的数目,本文给出了f(m,n)和g(m,n)的表达式.

Let m and n be positive integral numbers, f(m ,n) denotes the numbers of necklaces that are composed of n beads with m colors, and g(m,n) denotes the numbers of necklaces that are composed of m red beads and n white beads. This paper gives the expression of f(m ,n) and g(m, n).