title: On the higher power sums of reciprocal higher-order sequences.
abstract: Let {u(n)} 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.
authors.affiliation: Department of Mathematics, Northwest University, Xi'an, Shaanxi, China.
authors.forename: Zhengang
authors.identifier: 0000-0001-9985-3246
authors.initials: Z
authors.lastname: Wu
authors.affiliation: School of Mathematics and Computer Engineering, Xi'an University of Arts and Science, Xi'an, Shaanxi, China.
authors.forename: Jin
authors.initials: J
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D012044:Regression Analysis