Paolo Emilio Ricci
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 1, Pages 91—100
DOI: 10.7546/nntdm.2021.27.1.91-100
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Authors and affiliations
Paolo Emilio Ricci
Section of Mathematics, International Telematic University UniNettuno
Corso Vittorio Emanuele II, 39, 00186, Roma, Italia
Abstract
The results described in a recent article, relative to a representation formula for the generalized Fibonacci sequences in terms of Q-matrices are extended to the case of Fibonacci, Tribonacci and R-bonacci polynomials.
Keywords
- Fibonacci numbers
- Tribonacci polynomials
- R-bonacci polynomials
- Q-matrices
- Matrix powers.
2010 Mathematics Subject Classification
- Primary 11B39
- Secondary 11B83, 12E10, 65Q30, 15A24
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Cite this paper
Ricci, P. E. (2021). A note on Q-matrices and higher order Fibonacci polynomials. Notes on Number Theory and Discrete Mathematics, 27(1), 91-100, doi: 10.7546/nntdm.2021.27.1.91-100.