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

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## 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 2*x*^{2} − *y*^{2} = 2*t*^{2} − 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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## Cite this paper

Tekcan, A. & Erdem, A. (2020). *t*-cobalancing numbers and *t*-cobalancers. Notes on Number Theory and Discrete Mathematics, 26(1), 45-58, doi: 10.7546/nntdm.2020.26.1.45-58.