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On F3(k, n) -numbers of the Fibonacci type

ArticleAçık Erişim

Özet

In this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle. © 2021, The Author(s).

Anahtar Kelimeler

Generalized Fibonacci numbersGenerating functionNarayana’s numbersPadovan’s numbersPascal’s triangle
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13123Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s40590-021-00381-9Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.contributor.authorYilmaz, Nur Şeyma
dc.contributor.authorWłoch, Andrzej
dc.date.accessioned2026-10-18T20:27:57.905173760Z
dc.date.available2026-10-18T20:27:57.905173760Z
dc.date.issued2021
dc.description.abstractIn this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle. © 2021, The Author(s).
dc.identifier.doi10.1007/s40590-021-00381-9
dc.identifier.eissn2296-4495
dc.identifier.issn1405-213X
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85116590203
dc.identifier.startpage77
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13123
dc.identifier.volume27
dc.identifier.wosWOS:000704979100002
dc.language.isoen
dc.publisherBirkhauser
dc.relation.ispartofBoletin de la Sociedad Matematica Mexicana
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGeneralized Fibonacci numbers
dc.subjectGenerating function
dc.subjectNarayana’s numbers
dc.subjectPadovan’s numbers
dc.subjectPascal’s triangle
dc.titleOn F3(k, n) -numbers of the Fibonacci type
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus5
rdl.citation.wos6
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)