On two new combined 3-Fibonacci sequences. Part 2

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 3, Pages 111–114
DOI: 10.7546/nntdm.2018.24.3.111-114
Full paper (PDF, 134 Kb)

Details

Authors and affiliations

Krassimir T. Atanassov
Department of Bioinformatics and Mathematical Modelling
IBPhBME – Bulgarian Academy of Sciences, Sofia-1113, Bulgaria
and
Intelligent Systems Laboratory
Prof. Asen Zlatarov University, Burgas-8010, Bulgaria

Abstract

In continuation of the results in [1], two new combined 3-Fibonacci sequences are
introduced. Explicit formulae for their 𝑛-th members are given. In comparison to the combined 3-Fibonacci sequences proposed in [1], which are functions of four initial constants, the new sequences proposed here depend only on three initial constants.

Keywords

• Fibonacci sequence
• 3-Fibonacci sequence

2010 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., Atanassova, V., Shannon, A., & Turner, J. (2002) New Visual Perspectives on Fibonacci Numbers, World Scientific, New Jersey.