多项式数列和的简捷方法

A simple and convenient method for the sum of polynomial number sequence

给出了求关于自然数k的m次多项式数列f(k)=α_0k^m+α_1k^(m-1)+…+α_(m-1)k+α_m=sum from i=0 to mα_ik^(m-i)的前n项和sum from k=3 to nf(k)的简单递推公式,而无需应用Bernoulli数,推广了文[1]、[2]、[3]的结论。

In this paper, we'll give a simple and convenient method for the sum f(k) of polynomial number sequence f(k) = aikm-i by using a recurrence formula.