Mathematics > Number Theory
arXiv:2604.08930 (math)
[Submitted on 10 Apr 2026 (v1), last revised 18 Jun 2026 (this version, v2)]
Abstract:Let $\beta$ be a non-unit real algebraic integer greater than one and $\{a_{n}\}_{n \geq 0}$ be a sequence satisfying a linear recurrence relation $a_{n+3}=aa_{n+2}+ba_{n+1}+ca_{n}$. Under certain conditions, we prove that the number of $a_{n}$ which are palindromic concatenations of two repdigits in base $\beta$ is finite.
Submission history
From: Ruofan Li [view email]
[v1]
Fri, 10 Apr 2026 03:55:54 UTC (7 KB)
[v2]
Thu, 18 Jun 2026 05:14:44 UTC (7 KB)
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