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New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

ArticleAçık Erişim

Özet

In this study, the Pell numbers are placed clockwise on the vertices of the polygons with a number corresponding to each vertex. Then, a relation among the numbers corresponding to a vertex is given. Furthermore, we obtain a formula which gives the mth term of the sequence formed at the kth vertex in an n-gon. The same procedure is repeated with Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers. © 2021 Elsevier Ltd

Anahtar Kelimeler

Binet formulaFibonacci numbersJacobstal numbersJacobsthal-Lucas numbersPell numbersPell-Lucas numbersBinet formulasJacobstal numberJacobsthal numbersLucas numbersPell-luca numberNumber theory
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13359Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.chaos.2021.111173Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÇelik, Songül
dc.contributor.authorDurukan, İnan
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:28:12.068270506Z
dc.date.available2026-10-18T20:28:12.068270506Z
dc.date.issued2021
dc.description.abstractIn this study, the Pell numbers are placed clockwise on the vertices of the polygons with a number corresponding to each vertex. Then, a relation among the numbers corresponding to a vertex is given. Furthermore, we obtain a formula which gives the mth term of the sequence formed at the kth vertex in an n-gon. The same procedure is repeated with Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers. © 2021 Elsevier Ltd
dc.identifier.doi10.1016/j.chaos.2021.111173
dc.identifier.eissn1873-2887
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85108866791
dc.identifier.startpage111173
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13359
dc.identifier.volume150
dc.identifier.wosWOS:000687258300020
dc.language.isoen
dc.publisherElsevier Ltd
dc.relation.ispartofChaos, Solitons and Fractals
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBinet formula
dc.subjectFibonacci numbers
dc.subjectJacobstal numbers
dc.subjectJacobsthal-Lucas numbers
dc.subjectPell numbers
dc.subjectPell-Lucas numbers
dc.subjectBinet formulas
dc.subjectJacobstal number
dc.subjectJacobsthal numbers
dc.subjectLucas numbers
dc.subjectPell-luca number
dc.subjectNumber theory
dc.titleNew recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus33
rdl.citation.wos28
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)