dc.contributor.author Larcombe, Peter J. dc.contributor.author Fennessey, Eric J. dc.date.accessioned 2016-11-15T10:49:03Z dc.date.available 2016-11-15T10:49:03Z dc.date.issued 2015-01 dc.identifier.citation Larcombe, 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. 98-120 en dc.identifier.issn 1183-1278 dc.identifier.uri http://hdl.handle.net/10545/620845 dc.description.abstract A 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.iso en en dc.publisher The Institute of Combinatorics and its Applications (ICA) en dc.relation.url http://www.combinatorialmath.ca/ICA/index.html en dc.relation.url http://www.combinatorialmath.ca/ICA/ICA73.html en dc.rights.uri http://creativecommons.org/licenses/by/4.0/ en dc.subject Discrete mathematics en dc.subject Applied mathematics en dc.title On horadam sequence periodicity: A new approach en dc.type Article en dc.contributor.department University of Derby en dc.identifier.journal Bulletin of the Institute of Combinatorics and its Applications (ICA) en refterms.dateFOA 2019-02-28T14:54:31Z html.description.abstract A 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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