b3-subbalancing and b3-Lucas subbalancing numbers

Sari S., Gözeri G. K.

Filomat, cilt.37, sa.22, ss.7623-7639, 2023 (SCI-Expanded) identifier identifier

  • 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.