Repeated concatenations in residue classes

2021/09/04 by Daniel Tsai, Tsai, Daniel
Computer Science · Mathematics · #11A07 #11A25 (Secondary) #11A63 (Primary) #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2109.01798

openalex publication_date 2021/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an algorithm to determine all the repeated concatenations, in a given base, of a natural number in a residue class. The author recently describes a particular sequence of v-palindromes that inspires this investigation. We also generalize this sequence and discuss how there could be variations of the investigation we do in this paper.

Citations

• A Recurring Pattern in Natural Numbers of a Certain Property
• The fundamental period of a periodic phenomenon pertaining to\n v-palindromes

Related

• Almost all palindromes are composite
• Palindromic concatenations of two distinct repdigits in Narayana's cows sequence
• Palindrome Partitions and the Calkin-Wilf Tree
• A Recurring Pattern in Natural Numbers of a Certain Property
• The invariance of the type of a v-palindrome