t-cobalancing numbers and t-cobalancers

Ahmet Tekcan and Alper Erdem
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 26, 2020, Number 1, Pages 45–58
DOI: 10.7546/nntdm.2020.26.1.45-58
Full paper (PDF, 217 Kb)

Details

Authors and affiliations

Ahmet Tekcan
Bursa Uludag University, Faculty of Science
Department of Mathematics, Bursa, Turkey

Alper Erdem
Bursa Uludag University, Faculty of Science
Department of Mathematics, Bursa, Turkey

Abstract

In this work, we determine the general terms of t-cobalancers, t-cobalancing numbers and Lucas t-cobalancing numbers by solving the Pell equation 2x² − y² = 2t² − 1 for some fixed integer t ≥ 1.

Keywords

• Cobalancing numbers
• Cobalancers
• t-cobalancers
• t-cobalancing numbers
• Lucas t-cobalancing numbers
• Pell equation

2010 Mathematics Subject Classification

• 11B37
• 11B39
• 11D09
• 11D79

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