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/"
}
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