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Bibliographic Details
Main Author: Li, Ruofan
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.08930
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Table of Contents:
  • Let $β$ 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 $β$ is finite.