Elif Tan

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 23, 2017, Number 4, Pages 56–65

**Full paper (PDF, 168 Kb)**

## Details

### Authors and affiliations

Elif Tan

*Department of Bioinformatics and Mathematical Modelling
Department of Mathematics, Ankara University
Ankara, Turkey
*

### Abstract

In this paper, we give some basic properties of the bi-periodic Horadam sequences which generalize the known results for the bi-periodic Fibonacci and Lucas sequences. Also, we obtain some new identities for the bi-periodic Lucas sequences.

### Keywords

- Horadam sequence
- Conditional sequence
- Bi-periodic Fibonacci sequence

### AMS Classification

- 11B39
- 05A15

### References

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## Cite this paper

Tan, E. (2017). Some Properties of the Bi-periodic Horadam Sequences. *Notes on Number Theory and Discrete Mathematics*, 23(4), 56-65.