2022/03/14 by Luca Onnis, Onnis, Luca
Mathematics · Physics and Astronomy · #11Y55 #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications #math.GM #msc:11Y55
paper · pdf · doi:10.48550/arxiv.2203.07227
14 pages, 12 figures
openalex publication_date 2022/03/14 · arxiv created 2022/03/16 · arxiv updated 2022/03/17 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28
This paper investigates the behaviour of one of the most famous Smarandache's sequence given by A061076 on oeis. In particular we first study the behaviour of two sequences (A061077, A061078) strictly connected with the main Smarandache's sigma product of digits. We'll solve some open problems such as the determination of an upper bound for these sequences (which hold for all n∈ℕ) and the determination of a closed formula for each a(n) and b(n). Then combining these results it will be possible to understand the behaviour of the general sequence c(n). Every result will be accompanied by Wolfram Mathematica scripts examples in order to support our thesis.