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On r-Jacobsthal and r-Jacobsthal-Lucas Numbers

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dc.contributor.authorBilgici, Göksal
dc.contributor.authorBród, Dorota
dc.date.accessioned2026-01-04T18:24:30Z
dc.date.issued2023-02-07
dc.description.abstractAbstract Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequences and examine their properties, too. Finally, we generalize some well-known identities.
dc.description.urihttps://doi.org/10.2478/amsil-2023-0001
dc.description.urihttps://zbmath.org/7665190
dc.description.urihttps://doaj.org/article/f42a71e5482d4cb6a7836de0c7e26a65
dc.identifier.doi10.2478/amsil-2023-0001
dc.identifier.eissn2391-4238
dc.identifier.endpage31
dc.identifier.openairedoi_dedup___::a9a9417d422e7bf81fc8b3ad961a575f
dc.identifier.orcid0000-0001-9964-5578
dc.identifier.scopus2-s2.0-85148036011
dc.identifier.startpage16
dc.identifier.urihttps://hdl.handle.net/20.500.12597/40510
dc.identifier.volume37
dc.identifier.wos000927389300001
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofAnnales Mathematicae Silesianae
dc.rightsOPEN
dc.subjectr-jacobsthal–lucas numbers
dc.subjectb37
dc.subjectb83
dc.subject\(r\)-Jacobsthal numbers
dc.subjectr-jacobsthal numbers
dc.subjectQA1-939
dc.subjectFibonacci and Lucas numbers and polynomials and generalizations
dc.subjectbinet formula
dc.subject\(r\)-Jacobsthal-Lucas numbers
dc.subjectBinet formula
dc.subjectMathematics
dc.titleOn r-Jacobsthal and r-Jacobsthal-Lucas Numbers
dc.typeArticle
dspace.entity.typePublication
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