On the geometry of certain periodic non-homogeneous Horadam sequences.
Journal article
Authors | Bagdasar, Ovidiu and Popa, Ioan-Lucian |
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Abstract | Horadam sequences are second-order recurrences depending on a family of four complex parameters: two initial conditions and two recurrence coefficients. The periodicity conditions, as well as the number and geometric structure of self-repeating Horadam sequences of fixed length have been recently investigated. In this paper various geometric properties of non-homogeneous Horadam sequences are explored, including periodicity conditions and the structure of certain periodic orbits. |
Horadam sequences are second-order recurrences depending on a family of four | |
Keywords | Recurrent sequences; Periodic sequences; Geometric patterns |
Year | 2016 |
Journal | Electronic Notes in Discrete Mathematics |
Publisher | Elsevier |
ISSN | 15710653 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.endm.2016.11.002 |
Web address (URL) | http://hdl.handle.net/10545/622413 |
http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
hdl:10545/622413 | |
Publication dates | Dec 2016 |
Publication process dates | |
Deposited | 21 Mar 2018, 13:00 |
Series | TCDM2016 |
Rights | Archived with thanks to Electronic Notes in Discrete Mathematics |
Contributors | University of Derby and University of Alba Iulia |
File | File Access Level Open |
File | File Access Level Open |
https://repository.derby.ac.uk/item/933w3/on-the-geometry-of-certain-periodic-non-homogeneous-horadam-sequences
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