| Issue |
RAIRO-Theor. Inf. Appl.
Volume 60, 2026
Diophantine Analysis and Related Topics (DART2025Z)
|
|
|---|---|---|
| Article Number | 23 | |
| Number of page(s) | 11 | |
| DOI | https://doi.org/10.1051/ita/2026023 | |
| Published online | 16 July 2026 | |
Linear recurrence sequences and palindromic concatenations of two repdigits in base β
Department of Mathematics, Jinan University,
Guangzhou
510632,
China
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
10
April
2026
Accepted:
23
June
2026
Abstract
Let β be a non-unit real algebraic integer greater than one and {an}n≥0 be a sequence satisfying a linear recurrence relation an + 3 = aan+2 + ban+1 + can. Under certain conditions, we prove that the number of an which are palindromic concatenations of two repdigits in base β is finite.
Mathematics Subject Classification: 11B37 / 11D61 / 11A63
Key words: Linear recurrence sequences / repdigits / palindromic concatenations
© The authors. Published by EDP Sciences, 2026
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