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On the reciprocal sums of products of balancing and lucas-balancing numbers

Authors
Choo, Y.
Issue Date
Feb-2021
Publisher
MDPI AG
Keywords
Balancing numbers; Fibonacci numbers; Floor function; Lucas-balancing numbers; Reciprocal
Citation
Mathematics, v.9, no.4, pp.1 - 10
Journal Title
Mathematics
Volume
9
Number
4
Start Page
1
End Page
10
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/16123
DOI
10.3390/math9040350
ISSN
2227-7390
Abstract
"Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing numbers and products of balancing and Lucas-balancing numbers. The method of this paper can also be applied to evenindexed and odd-indexed Fibonacci, Lucas, Pell and Pell?Lucas numbers. ? 2021 by the author. Licensee MDPI, Basel, Switzerland.
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