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
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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.

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Cite this paper

APA

Atanassov, K. T. (2018). On two new combined 3-Fibonacci sequences. Part 2. Notes on Number Theory and Discrete Mathematics, 24(3), 111-114, doi: 10.7546/nntdm.2018.24.3.111-114.

Chicago

Atanassov, Krassimir T. “On Two New Combined 3-Fibonacci Sequences. Part 2.” Notes on Number Theory and Discrete Mathematics 24, no. 3 (2018): 111-114, doi: 10.7546/nntdm.2018.24.3.111-114.

MLA

Atanassov, Krassimir T. “On Two New Combined 3-Fibonacci Sequences. Part 2.” Notes on Number Theory and Discrete Mathematics 24.3 (2018): 111-114. Print, doi: 10.7546/nntdm.2018.24.3.111-114.

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