On A Jacobsthal-Like Sequence Associated with KJacobsthal-Lucas Sequence
Journal of Contemporary Applied Mathematics, cilt.10, sa.2, ss.3-13, 2020 (Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Hayır
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〉.