GENERALIZATION OF THE k-WOODALL SEQUENCE

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Akkuş H., ÖZKAN E.

Palestine Journal of Mathematics, vol.14, no.3, pp.1016-1027, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 3
  • Publication Date: 2025
  • Journal Name: Palestine Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.1016-1027
  • Keywords: and phrases: Woodall numbers, Binet formulas, Cassini Identity, Cullen numbers, Generating function
  • Open Archive Collection: AVESIS Open Access Collection
  • Marmara University Affiliated: Yes

Abstract

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.