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
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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

APA

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

Chicago

Tan, Elif. “Some Properties of the Bi-periodic Horadam Sequences.” Notes on Number Theory and Discrete Mathematics 23, no. 4 (2017): 56-65.

MLA

Tan, Elif. “Some properties of the bi-periodic Horadam sequences.” Notes on Number Theory and Discrete Mathematics 23.4 (2017): 56-65. Print.

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