On k-generalized Lucas sequence with its triangle

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

Turkish Journal of Mathematics, vol.47, no.4, pp.1129-1143, 2023 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3416
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1129-1143
  • Keywords: arithmetic triangle, bis nomial coefficient, k−generalized Lucas sequence, recurrence relation
  • Open Archive Collection: AVESIS Open Access Collection
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

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.