Ömür Deveci

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 2, Pages 111—128

DOI: 10.7546/nntdm.2021.27.2.111-128

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## Details

### Authors and affiliations

Ömür Deveci

*Department of Mathematics, Faculty of Science and Letters,
Kafkas University, 36100, Turkey*

### Abstract

In this paper, we define the Fibonacci–Jacobsthal, Padovan–Fibonacci, Pell–Fibonacci, Pell–Jacobsthal, Padovan–Pell and Padovan–Jacobsthal sequences which are directly related with the Fibonacci, Jacobsthal, Pell and Padovan numbers and give their structural properties by matrix methods. Then we obtain new relationships between Fibonacci, Jacobsthal, Pell and Padovan numbers.

### Keywords

- Fibonacci sequence
- Jacobsthal sequence
- Pell sequence
- Padovan sequence
- Matrix
- Representation

### 2020 Mathematics Subject Classification

- 11K31
- 11C20
- 15A15

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## Cite this paper

Deveci, Ö. (2021). On the connections among Fibonacci, Pell, Jacobsthal and Padovan numbers. Notes on Number Theory and Discrete Mathematics, 27(2), 111-128, doi: 10.7546/nntdm.2021.27.2.111-128.