New proofs of linear recurrence identities for terms of the Horadam sequence.
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.Citation
Larcombe, P.J., and Fennessey, E.J. (2019) ‘New proofs of linear recurrence identities for terms of the Horadam sequence’, Palestine Journal of Mathematics, 8(1), pp. 132-137.Publisher
Palestine Polytechnic UniversityJournal
Palestine Journal of MathematicsAdditional Links
http://pjm.ppu.edu/Type
ArticleLanguage
enISSN
2219-5688Collections
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