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.

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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
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article

Almost repdigits in balancing and Lucas-balancing sequences

Hussain Basha, Manasi Kumari Sahukar
Notes on Number Theory and Discrete Mathematics
Advanced Mathematical Theories and Applications
article

Almost repdigits in balancing and Lucas-balancing sequences

Hussain Basha, Manasi Kumari Sahukar
article en

Abstract

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.

Notes on Number Theory and Discrete MathematicsVol. 31(2)
Openalex Percentile: Top 89%
Advanced Mathematical Theories and Applications
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Almost repdigits in balancing and Lucas-balancing sequences — Hussain Basha, Manasi Kumari Sahukar · Notes on Number Theory and Discrete Mathematics (2025) | TGRS Research Map | TGRS