On A Jacobsthal-Like Sequence Associated with KJacobsthal-Lucas Sequence

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ÖZKAN E., Kuloğlu B.

Journal of Contemporary Applied Mathematics, cilt.10, sa.2, ss.3-13, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Journal of Contemporary Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.3-13
  • Anahtar Kelimeler: Generalized Jacobsthal sequence, Jacobstal-Like sequence, Jacobsthal sequence, k Jacobsthal-Lucas sequence
  • Marmara Üniversitesi Adresli: Evet

Özet

We introduce a new generalization of the known Jacobstal sequence and we call Jacobstal-Like sequence 〈Jk,n〉 and then we study on Jacobstal-Like sequence〈Jk,n〉 and kJacobsthal-Lucas sequence 〈jk,n〉 side by side by introducing two special matrices for these sequences. After that, by using these matrices we obtain Binet formula for Jacobstal-Like sequence 〈Jk,n〉 Further, we get Cassini identity for Jacobstal-Like sequence 〈Jk,n〉. Also we establish some of the interesting properties of Jacobstal-Like sequence. Then we give a limit for Jacobstal-Like sequence 〈Jk,n〉.