Year: 2024
Type: article
Abstract: In this paper, we introduce a fourth-order linear recursive sequence that is related to the concept of subbalancing numbers. This sequence is constructed by using the third balancing number in the Diophantine equation of subbalancing numbers and is called the sequence of B3-Lucas subbalancing numbers. Motivated by the results for b3-Lucas subbalancing numbers, we obtain several algebraic identities regarding B3-Lucas subbalancing numbers. Furthermore, we derive some algebraic relations between B3-Lucas subbalancing numbers and some other integer sequences.
Source: Symmetry
DOI: 10.3390/sym17010041
Authors: Gül Karadeniz-Gözeri, Selin Sarı, Pınar Akgül
Institution: Istanbul University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,728
OpenAlex ID: W4405938580