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自然数幂方和二项系数表示的系数公式
Coefficient Formular Represented by Natural Number’s Power Sum and Combinatorial Numbers
【摘要】 该文得到了自然数幂方和由二项系数表示的系数ai(k)的公式,和由排列数表示的系数bi(k)的公式,证明了系数存在惟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】 This paper gives the coefficient formula of natural number’s power sum represented by combinatorial numbers (k)a i and permutation numbers bi (k). It proves the existence and uniqueness of coefficients, as well as a few important properties among them (the coefficients). It also obtains 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; recursion formula; Combinatorial Numbers; coefficient formula;
【Key words】 natural numbers’power sum; recursion formula; Combinatorial Numbers; coefficient formula;
- 【文献出处】 梧州学院学报 ,Journal of Wuzhou University , 编辑部邮箱 ,2008年03期
- 【分类号】O156.1
- 【下载频次】42