b3-subbalancing and b3-Lucas subbalancing numbers
Filomat, cilt.37, sa.22, ss.7623-7639, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 22
- Basım Tarihi: 2023
- Doi Numarası: 10.2298/fil2322623s
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.7623-7639
- Anahtar Kelimeler: Balancing number, Binet formula, Generating function, Subbalancing number
- İstanbul Üniversitesi Adresli: Evet
Özet
In this paper, we derive some new algebraic identities on b3-subbalancing numbers and obtain the functions that generate b3-subbalancing numbers. We also introduce b3-Lucas subbalancing numbers and derive some algebraic identities between b3-Lucas subbalancing numbers and b3-subbalancing numbers. Further, we give the Binet formulas for b3-subbalancing and b3-Lucas subbalancing numbers.