On the Partial Finite Alternating Sums of Reciprocals of Balancing and Lucas-Balancing Numbers

In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.

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Bibliographic Details
Published in:Discussiones mathematicae. General algebra and applications Vol. 40; no. 2; pp. 201 - 216
Main Authors: Dutta, Utkal Keshari, Ray, Prasanta Kumar
Format: Journal Article
Language:English
Published: Sciendo 01.12.2020
University of Zielona Góra
Subjects:
11B37
11B39
balancing numbers
floor function
Lucas-balancing numbers
partial sums
reciprocal
ISSN:1509-9415, 2084-0373
Online Access:Get full text
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Description
Summary:In this note, the finite alternating sums of reciprocals of balancing and Lucas-balancing numbers are considered and several identities involving these sums are deduced.
ISSN:1509-9415
2084-0373
DOI:10.7151/dmgaa.1338