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On Horadam-Lucas Sequence

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dc.contributor.authorDasdemir, Ahmet
dc.date.accessioned2026-01-04T18:33:08Z
dc.date.issued2023-03-30
dc.description.abstractHoradam introduced a generalized sequence of numbers, describing its key features and the special sub-sequences obtained from specific choices of initial parameters. This sequence and its sub-sequences are known as the Horadam, generalized Fibonacci, and generalized Lucas numbers, respectively. In the present study, we propose another new sequence, which satisfies a second-order recurrence relation. Further, we prove the Binet’s formula, some famous identities, and summation formulas for this new sequence. In particular, we demonstrate the interrelationships between our new sequence and the Horadam sequence.
dc.description.urihttps://doi.org/10.22342/jims.29.1.1280.116-124
dc.description.urihttps://dx.doi.org/10.48550/arxiv.1906.05931
dc.description.urihttp://arxiv.org/abs/1906.05931
dc.identifier.doi10.22342/jims.29.1.1280.116-124
dc.identifier.eissn2460-0245
dc.identifier.endpage124
dc.identifier.issn2086-8952
dc.identifier.openairedoi_dedup___::41d875c92ac27ceb321d60fa75218538
dc.identifier.scopus2-s2.0-85164305925
dc.identifier.startpage116
dc.identifier.urihttps://hdl.handle.net/20.500.12597/40607
dc.publisherIndonesian Mathematical Society
dc.relation.ispartofJournal of the Indonesian Mathematical Society
dc.rightsOPEN
dc.subjectFOS: Mathematics
dc.subjectMathematics - Combinatorics
dc.subjectCombinatorics (math.CO)
dc.subjectB37
dc.titleOn Horadam-Lucas Sequence
dc.typeArticle
dspace.entity.typePublication
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