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.
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.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第20期159-166,共8页
Mathematics in Practice and Theory
关键词
自然数幂方和
递推关系式
二项系数
系数公式
natural numbers'power sum
Recursion formula
Combinatorial Numbers
coefficient formula