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dc.contributor.authorLarcombe, Peter J.
dc.contributor.authorFennessey, Eric J.
dc.date.accessioned2016-11-15T10:49:03Z
dc.date.available2016-11-15T10:49:03Z
dc.date.issued2015-01
dc.identifier.citationLarcombe, P. J. and Fennessey, E. J., (2015) 'On horadam sequence periodicity: A new approach',Bulletin of the Institute of Combinatorics and its Applications (ICA), vol. 73, pp. 98-120en
dc.identifier.issn1183-1278
dc.identifier.urihttp://hdl.handle.net/10545/620845
dc.description.abstractA so called Horadam sequence is one delivered by a general second order recurrence formula with arbitrary initial conditions. We examine aspects of self-repeating Horadam sequences by applying matrix based methods in new ways, and derive some conditions governing their cyclic behaviour. The analysis allows for both real and complex sequence periodicity.
dc.language.isoenen
dc.publisherThe Institute of Combinatorics and its Applications (ICA)en
dc.relation.urlhttp://www.combinatorialmath.ca/ICA/index.htmlen
dc.relation.urlhttp://www.combinatorialmath.ca/ICA/ICA73.htmlen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDiscrete mathematicsen
dc.subjectApplied mathematicsen
dc.titleOn horadam sequence periodicity: A new approachen
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalBulletin of the Institute of Combinatorics and its Applications (ICA)en
refterms.dateFOA2019-02-28T14:54:31Z
html.description.abstractA so called Horadam sequence is one delivered by a general second order recurrence formula with arbitrary initial conditions. We examine aspects of self-repeating Horadam sequences by applying matrix based methods in new ways, and derive some conditions governing their cyclic behaviour. The analysis allows for both real and complex sequence periodicity.


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