On Sums of Powers of Odd Integers

被引：1

作者：

Songbai GUO ^{[1
,2
]}

Youjian SHEN ^{[1
]}

机构：

[1] School of Mathematics and Statistics,Hainan Normal University

[2] School of Mathematics and Physics,University of Science and Technology Beijing

来源：

Journal of Mathematical Research with Applications | 2013年 / 33卷 / 06期

关键词：

odd number; sums of powers; binomial theorem; superposition method;

D O I：

暂无

中图分类号：

O174.14 [多项式理论];

学科分类号：

070104 ;

摘要：

In this paper,by using superposition method,we aim to show thatn i=1(2i 1)2k 1 is the product of n2and a rational polynomial in n2with degree k 1,and thatn i=1(2i 1)2k is the product of n(2n 1)(2n + 1) and a rational polynomial in(2n 1)(2n + 1) with degree k 1.Moreover,recurrence formulas to compute the coefcients of the corresponding rational polynomials are also obtained.

引用

页码：666 / 672

页数：7

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