Linear recurrence sequences and palindromic concatenations of two repdigits in base

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.

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Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2026-07-16
DOI
https://doi.org/10.1051/ita/2026023/pdf
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00
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article

Linear recurrence sequences and palindromic concatenations of two repdigits in base

Ruofan Li
Springer Link (Chiba Institute of Technology)
Coding theory and cryptography
article

Linear recurrence sequences and palindromic concatenations of two repdigits in base

Ruofan Li
article en

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.

Springer Link (Chiba Institute of Technology)
Jinan University (CN)
Reduced inequalities
Openalex Percentile: Top 6%
Coding theory and cryptography
DOIOpen Access PDFOpenAlex
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