Publication Details

7x +- 1: Close Relative of the Collatz Problem

BAŘINA, D. 7x +- 1: Close Relative of the Collatz Problem. Computational Methods in Science and Technology, 2022, vol. 28, no. 4, p. 143-147. ISSN: 1505-0602.

Czech title

7x +- 1: Blízký příbuzný Collatzova problému

Type

journal article

Language

English

Authors

Bařina David, Ing., Ph.D. (DCGM)

Keywords

Collatz problem, number theory

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 the Collatz function. The conjecture is supported by a heuristic argument and computational results.

Published

2022

Pages

143–147

Journal

Computational Methods in Science and Technology, vol. 28, no. 4, ISSN 1505-0602

DOI

10.12921/cmst.2022.0000025

BibTeX

@article{BUT180475,
  author="David {Bařina}",
  title="7x +- 1: Close Relative of the Collatz Problem",
  journal="Computational Methods in Science and Technology",
  year="2022",
  volume="28",
  number="4",
  pages="143--147",
  doi="10.12921/cmst.2022.0000025",
  issn="1505-0602",
  url="https://www.fit.vut.cz/research/publication/12909/"
}