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Research Article | Open Access

On the reciprocal sums of products of mth-order linear recurrence sequences

Tingting Du, Zhengang Wu( )
Northwest University, Xi'an, Shaanxi 710127, China
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Abstract

In this paper, we use the method of error estimation to consider the reciprocal sums of products of any mth-order linear recurrence sequences { u n } . Specifically, we find that a series of sequences are "asymptotically equivalent" to the reciprocal sums of products of any mth-order linear recurrence sequences { u n } .

Keywords

mth-order linear recurrence sequencesreciprocal sumsproductsasymptotically equivalent

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Electronic Research Archive
Volume 31 Issue 9,
September 2023
Pages 5766-5779
DOI: 10.3934/era.2023293

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Cite this article:
Du T, Wu Z. On the reciprocal sums of products of mth-order linear recurrence sequences. Electronic Research Archive, 2023, 31(9): 5766-5779. https://doi.org/10.3934/era.2023293

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Received: 16 February 2023
Revised: 18 May 2023
Accepted: 26 July 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)