2015/01/03 by Masum Billal, Billal, Masum
Computer Science · #11A25 #11B50 #11B83 #11C08 #11T06 #Cellular Automata and Applications #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1501.00609
openalex publication_date 2015/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this memoir is to discuss two very interesting properties of integer sequences. One is the law of apparition and the other is the law of repetition. Both have been extensively studied by mathematicians such as Ward, Lucas, Lehmer, Hall, etc. However, due to the lack of a proper survey in this area, many results have been rediscovered many decades later. This along with the necessity of the usefulness of such theory calls for a survey on this topic.