| 自然数幂方和用二项系数表示的系数公式 |
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| 引用本文： | 孟凡申.自然数幂方和用二项系数表示的系数公式[J].数学的实践与认识,2010,40(20). |
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| 作者姓名： | 孟凡申 |
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| 摘 要： | 得到了自然数幂方和由二项系数表示的系数a_i~(k)的公式,和由排列数表示的系数b_i~(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.
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| 关 键 词： | 自然数幂方和 递推关系式 二项系数 系数公式 |
Combinatorial Numbers Representation of Natural Number's Power Sum |
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| MENG Fan-shen.Combinatorial Numbers Representation of Natural Number's Power Sum[J].Mathematics in Practice and Theory,2010,40(20). |
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| Authors: | MENG Fan-shen |
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| Abstract: | This paper gives the coefficient formula of natural number's power sum represented by combinatorial numbers and by permutation numbers.It proves out the existence and uniqueness of coefficients,as well as a few properties among them(the coefficients).It also obtains the simplified method and C-program calculating coefficients. |
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| Keywords: | natural numbers'power sum Recursion formula Combinatorial Numbers coefficient formula |
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