Collatz conjecture revisited: an elementary generalization

Collatz conjecture states that iterating the map that takes even natural number n to n2{n \over 2} and odd natural number n to 3n + 1, will eventually obtain 1. In this paper a new generalization of the Collatz conjecture is analyzed and some interesting results are obtained. Since Collatz conjectur...

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Bibliographic Details
Main Author: Gutierrez Amauri
Format: Article
Language:English
Published: Scientia Publishing House 2020-07-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.2478/ausm-2020-0007