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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/112182026-10-18T20:26:17Zopenairedrivercom_ebyu_10000col_ebyu_10001

GENERALIZATION OF THE k-WOODALL SEQUENCEAkkuş, HakanÖzkan, Enginand phrases: Woodall numbersBinet formulasCassini IdentityCullen numbersGenerating functionIn 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.Palestine Polytechnic University2025Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/112182219-5688enPalestine Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/11218