Year: 2025
Type: article
Abstract: In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of D in the Diophantine equations provided by subbalancing numbers. For this, first we prove that when the values of the positive integer D are chosen as balancing numbers, there exist integer solutions of the Diophantine equations that correspond to these values of D . Then, we obtain the sequence of B m ‐subbalancing numbers as the solutions of these Diophantine equations. Moreover, we especially consider B 3 ‐subbalancing numbers and obtain various algebraic identities regarding these numbers. Furthermore, we derive some results on the relationship between B 3 ‐subbalancing and b 3 ‐subbalancing numbers.
Source: Journal of Mathematics
DOI: 10.1155/jom/2173041
Authors: Selin Sarı, Gül Karadeniz-Gözeri
Institution: Istanbul University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,160
OpenAlex ID: W4412197774