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ON THE RECIPROCAL SUMS OF SQUARE OF GENERALIZED BI-PERIODIC FIBONACCI NUMBERS
- Authors
- Choi, Ginkyu; Choo, Younseok
- Issue Date
- 2018
- Publisher
- UNIV MISKOLC INST MATH
- Keywords
- bi-periodic Fibonacci numbers; reciprocal sum; floor function
- Citation
- MISKOLC MATHEMATICAL NOTES, v.19, no.1, pp.201 - 209
- Journal Title
- MISKOLC MATHEMATICAL NOTES
- Volume
- 19
- Number
- 1
- Start Page
- 201
- End Page
- 209
- ISSN
- 1787-2405
- Abstract
- Recently Basbuk and Yazlik [1] proved identities related to the reciprocal sum of generalized bi-penodic Fibonacci numbers starting from 0 and 1, and raised an open question whether we can obtain similar results for the reciprocal sum of mth power (m >= 2) of the same numbers. In this paper we derive identities for the reciprocal sum of square of generalized biperiodic Fibonacci numbers with arbitrary initial conditions.
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Related Researcher
- Choi, Gin kyu
- Science & Technology (Department of Electronic & Electrical Convergence Engineering)