New proofs of linear recurrence identities for terms of the Horadam sequence.

Journal article


Larcombe, Peter J. and Fennessey, Eric J. 2019. New proofs of linear recurrence identities for terms of the Horadam sequence. Palestine Journal of Mathematics.
AuthorsLarcombe, Peter J. and Fennessey, Eric J.
Abstract

We state, and prove using matrices, two (related) linear recurrence identities for termsofthesocalledHoradamsequence;eachresultexpressesthegeneraltermofthesequence as a linear combination of terms with particular initial values. First offered by A.F. Horadam himself in the 1960s, our approach to their formulation is quite different and, we believe, new.

KeywordsHoradam sequence recursion identities
Year2019
JournalPalestine Journal of Mathematics
PublisherPalestine Polytechnic University
ISSN2219-5688
Web address (URL)http://hdl.handle.net/10545/623243
http://creativecommons.org/licenses/by/4.0/
hdl:10545/623243
Publication dates2019
Publication process dates
Deposited18 Dec 2018, 14:30
ContributorsUniversity of Derby
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