GENERALIZATION OF THE k-WOODALL SEQUENCE

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Akkuş H., ÖZKAN E.

Palestine Journal of Mathematics, cilt.14, sa.3, ss.1016-1027, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2025
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1016-1027
  • Anahtar Kelimeler: and phrases: Woodall numbers, Binet formulas, Cassini Identity, Cullen numbers, Generating function
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Marmara Üniversitesi Adresli: Evet

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.