A polynomial based construction of periodic Horadam sequences
Journal article
Larcombe, Peter J. and Fennessey, Eric J. 2016. A polynomial based construction of periodic Horadam sequences. Utilitas Mathematica.
| Authors | Larcombe, Peter J. and Fennessey, Eric J. |
|---|---|
| Abstract | A recent matrix based approach to the study of self-repeating Horadam sequences has identified a mechanism to produce guaranteed (and arbitrary) periodicity through a novel formulation for the two governing parameters in the defining linear Horadam recurrence equation. We consider this further here, giving supporting examples to illustrate the methodology which utilises so called Catalan polynomials. |
| Keywords | Discrete mathematics; Applied mathematics |
| Year | 2016 |
| Journal | Utilitas Mathematica |
| Publisher | The Institute of Combinatorics and its Applications (ICA) |
| ISSN | 0315-3681 |
| Web address (URL) | http://hdl.handle.net/10545/620863 |
| http://creativecommons.org/licenses/by/4.0/ | |
| hdl:10545/620863 | |
| Publication dates | Mar 2016 |
| Publication process dates | |
| Deposited | 16 Nov 2016, 13:46 |
| Contributors | University of Derby |
| File | File Access Level Open |
| File | File Access Level Open |
| File | File Access Level Open |
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