Salah Eddine Rihane, Chefiath Awero Adegbindin and Alain Togbé

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 2, Pages 129—136

DOI: 10.7546/nntdm.2021.27.2.129-136

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## Details

### Authors and affiliations

Salah Eddine Rihane

*Department of Mathematics and Computer Science
Abdelhafid Boussouf University
Mila 43000, Algeria*

Chefiath Awero Adegbindin

*Institut de Mathematiques et de Sciences Physiques
Dangbo, Benin
*

Alain Togbé

*Department of Mathematics, Statistics, and Computer Science
Purdue University Northwest
1401 S, U.S. 421, Westville IN 46391, United States
*

### Abstract

For an integer , let be the -generalized Lucas sequence which starts with ( terms) and each term afterwards is the sum of the preceding terms. In this paper, we look the -generalized Lucas numbers of the form i.e. we study the Diophantine equation in positive integers with .

### Keywords

*k*-generalized Lucas numbers- Linear form in logarithms
- Reduction method

### 2020 Mathematics Subject Classification

- 11B39
- 11J86

### References

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## Cite this paper

Rihane, S. E., Adegbindin, C. A., & Togbé, A. (2021). Generalized Lucas numbers of the form 3 × 2* ^{m}*. Notes on Number Theory and Discrete Mathematics, 27(2), 129-136, doi: 10.7546/nntdm.2021.27.2.129-136.