b3-subbalancing and b3-Lucas subbalancing numbers

Sari S., Gözeri G. K.

Filomat, vol.37, no.22, pp.7623-7639, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 22
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2322623s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.7623-7639
  • Keywords: Balancing number, Binet formula, Generating function, Subbalancing number
  • Istanbul University Affiliated: Yes

Abstract

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.