Analysis of a Third Order Non-linear Recurrence including Exponential and Factorial terms
Abstract
This paper investigates a specific third-order nonlinear recurrence sequence. Despite the presence of super-exponential growth driven by factorial and exponential terms, numerical analysis confirms that the sequence remains periodic for modulo m up to 1000 as checked yet, suggesting that it might be periodic further too. Excel files for period lengths and terms of sequence are attached along with python codes used to generate period lengths and terms
Fields of Study & Subjects
Mathematical and Computational Methods
Advanced Mathematical Theories and Applications
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 12 March 2026
- Language
- EN
- Document type
- Dataset