Almost repdigits in balancing and Lucas-balancing sequences
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits. In particular, the only almost repdigits in balancing sequence are 0, 1, 6, and the only almost repdigits in Lucas-balancing sequence are 1, 3, 17, 99, 577, 3363.
Authors
- Hussain Basha (ORCID: https://orcid.org/0000-0003-4470-2074)
- Manasi Kumari Sahukar (ORCID: https://orcid.org/0000-0003-4040-6972)
Publication Details
- Journal
- Notes on Number Theory and Discrete Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.7546/nntdm.2025.31.2.390-403
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00