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自然数幂方和二项系数表示的系数公式
Combinatorial Numbers Representation of Natural Number′s Power Sum
【摘要】 得到了自然数幂方和由二项系数表示的系数a(ik)的公式和由排列数表示的系数bi(k)的公式,证明了系数存在唯一性及系数间的若干重要性质,给出了计算系数的C-语言程序.
【Abstract】 In this paper we give the coefficient formula of natural number′s power sum represented by combinatorial numbers and by permutation numbers and prove out the existence and uniqueness of coefficients,as well as a few properties among them(the coefficients).We also obtain the simplified method and C-program calculating coefficients.
【关键词】 自然数幂方和;
递推关系式;
二项系数;
系数公式;
【Key words】 natural numbers′power sum; Combinatorial Numbers; coefficient formula;
【Key words】 natural numbers′power sum; Combinatorial Numbers; coefficient formula;
- 【文献出处】 山西师范大学学报(自然科学版) ,Journal of Shanxi Normal University(Natural Science Edition) , 编辑部邮箱 ,2008年03期
- 【分类号】O156
- 【下载频次】74