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
Full paper (PDF, 159 Kb)

Details

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

Abstract

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

Keywords

• Fibonacci sequence
• 3-Fibonacci sequence.

AMS Classification

• 11B39

References

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.