摘要
自然数幂和问题具有悠久的历史 ,受华蘅芳方法的启发 ,将华氏数的定义只变一个符号 ,应用组合模型 ,推导出一个新的幂和公式 :∑mr=1rn =∑mk =1hnkm+ 1k+ 1.它在同类公式中简单优美 ,且具有深刻的组合意义 .列出了与华氏数hnk 有关的主要结果 。
The power sums of integer has a long history and it also has aroused some people's interest. Awaked by Hua's Method, one sign in Hua's definition is changed and a new formula of power sums of integer is got.This formula is very simple,pretty and it has deep combinatorial significance.Some formulae about Hua's numbers are listed and their proofs for main properties are given.
出处
《郑州大学学报（理学版）》
CAS
2003年第2期4-8,共5页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学数学天元基金资助项目
