Publication Details

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

BAŘINA David. 7x +- 1: Close Relative of the Collatz Problem. Computational Methods in Science and Technology, vol. 28, no. 4, 2022, pp. 143-147. ISSN 1505-0602.
Czech title
7x +- 1: Blízký příbuzný Collatzova problému
Type
journal article
Language
english
Authors
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
Publisher
Poznań Supercomputing and Networking Center
DOI
BibTeX
@ARTICLE{FITPUB12909,
   author = "David Ba\v{r}ina",
   title = "7x +- 1: Close Relative of the Collatz Problem",
   pages = "143--147",
   journal = "Computational Methods in Science and Technology",
   volume = 28,
   number = 4,
   year = 2022,
   ISSN = "1505-0602",
   doi = "10.12921/cmst.2022.0000025",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12909"
}
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