On two new combined 3-Fibonacci sequences. Part 3

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 28, 2022, Number 1, Pages 143–146
DOI: 10.7546/nntdm.2022.28.1.143-146
Full paper (PDF, 122 Kb)

Details

Authors and affiliations

Krassimir T. 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

Abstract

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

Keywords

• Fibonacci sequence
• 3-Fibonacci sequence

2020 Mathematics Subject Classification

• 11B39

References

1. Atanassov, K. (2018). On two new combined 3-Fibonacci sequences. Notes on Number Theory and Discrete Mathematics, 24(2), 90–93.
   
2. Atanassov, K. (2018). On two new combined 3-Fibonacci sequences. Part 2. Notes on Number Theory and Discrete Mathematics, 24(3), 111–114.
   
3. Atanassov, K., Atanassova, V., Shannon, A., & Turner, J. (2002). New Visual Perspectives on Fibonacci Numbers. World Scientific, New Jersey.
   
4. Atanassov, K., & Shannon, A. (2016). Combined 3-Fibonacci sequences from a new type. Notes on Number Theory and Discrete Mathematics, 22(3), 5–8.

Manuscript history

• Received: 18 December 2021
• Revised: 12 March 2022
• Accepted: 19 March 2022
• Online First: 22 March 2022