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GENERALIZATION OF THE k-WOODALL SEQUENCE

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Özet

In this study, we define the k-Woodall, k-Woodall-Lucas, and Modified k-Woodall sequences, and some terms of these sequences are given. Then we obtain the Binet formulas, generating functions, sum formulas, etc. Also, the relations among the terms of the kWoodall, k-Woodall-Lucas, modified k-Woodall, Woodall, Woodall-Lucas, Modified Woodall, Cullen, Cullen-Lucas, and Modified Cullen sequences are presented. In addition, we calculate Vajda’s identity, D’ocagne identity, etc. Finally, we associate the terms of these sequences with matrices. © Palestine Polytechnic University-PPU 2025.

Anahtar Kelimeler

and phrases: Woodall numbersBinet formulasCassini IdentityCullen numbersGenerating function
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AlanDeğerDil
dc.contributor.authorAkkuş, Hakan
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:26:17.942227589Z
dc.date.available2026-10-18T20:26:17.942227589Z
dc.date.issued2025
dc.description.abstractIn this study, we define the k-Woodall, k-Woodall-Lucas, and Modified k-Woodall sequences, and some terms of these sequences are given. Then we obtain the Binet formulas, generating functions, sum formulas, etc. Also, the relations among the terms of the kWoodall, k-Woodall-Lucas, modified k-Woodall, Woodall, Woodall-Lucas, Modified Woodall, Cullen, Cullen-Lucas, and Modified Cullen sequences are presented. In addition, we calculate Vajda’s identity, D’ocagne identity, etc. Finally, we associate the terms of these sequences with matrices. © Palestine Polytechnic University-PPU 2025.
dc.identifier.endpage1027
dc.identifier.issn2219-5688
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105022639910
dc.identifier.startpage1016
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/11218
dc.identifier.volume14
dc.language.isoen
dc.publisherPalestine Polytechnic University
dc.relation.ispartofPalestine Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectand phrases: Woodall numbers
dc.subjectBinet formulas
dc.subjectCassini Identity
dc.subjectCullen numbers
dc.subjectGenerating function
dc.titleGENERALIZATION OF THE k-WOODALL SEQUENCE
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.source.indexSCOPUS