Some properties of the bi-periodic Horadam sequences

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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