Combined 3-Fibonacci sequences from a new type

Krassimir Atanassov and Anthony G. Shannon
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 3, Pages 5—8
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Authors and affiliations

Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University
Bourgas-8010, Bulgaria

A. G. Shannon
Faculty of Engineering & IT, University of Technology
Sydney, NSW 2007, Australia
Campion College, Toongabbie East, NSW 2146, Australia


New combined 3-Fibonacci sequences are introduced and the explicit formulae for their n-th members are given.


  • Fibonacci sequence
  • 3-Fibonacci sequence.

AMS Classification

  • 11B39


  1. Atanassov, K., Atanassova, V., Shannon, A., Turner, J. (2002) New Visual Perspectives on Fibonacci Numbers. World Scientific, New Jersey.
  2. Atanassov, K. (1989) On a generalization of the Fibonacci sequence in the case of three sequences. The Fibonacci Quarterly, 27(1), 7–10.

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Cite this paper

Atanassov, K., & Shannon, A. G. (2016). Combined 3-Fibonacci sequences from a new type, Notes on Number Theory and Discrete Mathematics, 22(3), 5-8.

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