The Scientific World Journal
Volume 2014, Article ID 521358, 6 pages
http://dx.doi.org/10.1155/2014/521358
On the Higher Power Sums of Reciprocal Higher-Order Sequences
1Department of Mathematics, Northwest University, Xi'an, Shaanxi, China
2School of Mathematics and Computer Engineering, Xi'an University of Arts and Science, Xi'an, Shaanxi, China
Received 21 November 2013; Accepted 29 January 2014; Published 10 March 2014
Academic Editors: A. Fiorenza and E. Kılıç
Copyright © 2014 Zhengang Wu and Jin Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let be a higher-order linear recursive sequence. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal sums of higher power of higher-order sequences. Then we establish several new and interesting identities relating to the infinite and finite sums.