Kunle Adegoke, Robert Frontczak and Taras Goy

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 2, Pages 54–63

DOI: 10.7546/nntdm.2021.27.2.54-63

**Full paper (PDF, 204 Kb)**

## Details

### Authors and affiliations

Kunle Adegoke

*Department of Physics and Engineering Physics, Obafemi Awolowo University
220005 Ile-Ife, Nigeria*

Robert Frontczak

*Landesbank Baden-Württemberg
70173 Stuttgart, Germany
*

Taras Goy

*Faculty of Mathematics and Computer Science
Vasyl Stefanyk Precarpathian National University
76018 Ivano-Frankivsk, Ukraine
*

### Abstract

We evaluate the partial sum of the products of the terms of any two Horadam sequences with subscripts in arithmetic progression. Illustrative examples are drawn from six well-known Horadam sequences.

### Keywords

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

### 2020 Mathematics Subject Classification

- 11B39
- 11J86

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## Cite this paper

Adegoke, K., Frontczak, R., & Goy, T. (2021). Partial sum of the products of the Horadam numbers with subscripts in arithmetic progression. *Notes on Number Theory and Discrete Mathematics*, 27(2), 54-63, DOI: 10.7546/nntdm.2021.27.2.54-63.