On k-generalized Lucas sequence with its triangle

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AÇIKEL A., Amrouche S., Belbachir H., Irmak N.

Turkish Journal of Mathematics, cilt.47, sa.4, ss.1129-1143, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3416
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1129-1143
  • Anahtar Kelimeler: arithmetic triangle, bis nomial coefficient, k−generalized Lucas sequence, recurrence relation
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s-Lucas triangle and bis nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 +···+ xs), with s∈ N.