On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers

Younseok Choo
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Younseok Choo: Department of Electronic and Electrical Convergence Engineering, Hongik University, Sejong-Ro 2639, Sejong 30016, Korea

Mathematics, 2021, vol. 9, issue 4, 1-10

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 even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell–Lucas numbers.

Keywords: balancing numbers; Lucas-balancing numbers; Fibonacci numbers; reciprocal; floor function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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