$7x\pm1$: Close Relative of Collatz Problem
Number Theory
2024-10-02 v7
Abstract
We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of Collatz function. The conjecture is supported by a heuristic argument and computational results.
Keywords
Cite
@article{arxiv.1807.00908,
title = {$7x\pm1$: Close Relative of Collatz Problem},
author = {David Barina},
journal= {arXiv preprint arXiv:1807.00908},
year = {2024}
}
Comments
fixed small typo