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

Creative Commons License

Özkan E., Kuloğlu B.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Journal of Contemporary Applied Mathematics
  • Derginin Tarandığı İndeksler: zbMATH
  • Sayfa Sayıları: ss.3-13
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

We introduce a new generalization of the known Jacobstal sequence and we call Jacobstal-Like sequence  and then we study on Jacobstal-Like sequence  and -Jacobsthal-Lucas sequence  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  . Further, we get Cassini identity for Jacobstal-Like sequence . Also we establish some of the interesting properties of Jacobstal-Like sequence. Then we give a limit for Jacobstal-Like sequence 

We introduce a new generalization of the known Jacobstal sequence and we call Jacobstal-Like sequence  and then we study on Jacobstal-Like sequence  and -Jacobsthal-Lucas sequence  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  . Further, we get Cassini identity for Jacobstal-Like sequence . Also we establish some of the interesting properties of Jacobstal-Like sequence. Then we give a limit for Jacobstal-Like sequence