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Article Open Access September 24, 2025

A Convergence of the Muller’s Sequence

Rostyslav V. Bilous 1 and Ivan H. Krykun 2, 3,*
1
Company Onseo, Vinnytsia, Ukraine
2
Department of Theory of Control Systems, Institute of Applied Mathematics and Mechanics, NAS of Ukraine, Sloviansk, Ukraine
3
Department of Information Management, Mathematics and Statistics, Educational and Scientific Institute for Information and Communication Technologies, «KROK» University, Kyiv, Ukraine
Publihed in: Current Research in Public Health (Volume 4, Issue 1, 2025)
Page(s): 20-28
DOI: 10.31586/ujcsc.2025.6144
Received
July 11, 2025
Revised
August 28, 2025
Accepted
September 21, 2025
Published
September 24, 2025
Keywords
Muller’s Sequence; Computer Calculations; Programming
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright: Copyright © The Author(s), 2025. Published by Scientific Publications
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Cite This Article

APA Style
Bilous, R. V. , & Krykun, I. H. (2025). A Convergence of the Muller’s Sequence. Current Research in Public Health, 4(1), 20-28. https://doi.org/10.31586/ujcsc.2025.6144
ACS Style
Bilous, R. V. ; Krykun, I. H. A Convergence of the Muller’s Sequence. Current Research in Public Health 2025 4(1), 20-28. https://doi.org/10.31586/ujcsc.2025.6144
Chicago/Turabian Style
Bilous, Rostyslav V., and Ivan H. Krykun. 2025. "A Convergence of the Muller’s Sequence". Current Research in Public Health 4, no. 1: 20-28. https://doi.org/10.31586/ujcsc.2025.6144
AMA Style
Bilous RV, Krykun IH. A Convergence of the Muller’s Sequence. Current Research in Public Health. 2025; 4(1):20-28. https://doi.org/10.31586/ujcsc.2025.6144 
@Article{crph6144,
AUTHOR = {Bilous, Rostyslav V. and Krykun, Ivan H.},
TITLE = {A Convergence of the Muller’s Sequence},
JOURNAL = {Current Research in Public Health},
VOLUME = {4},
YEAR = {2025},
NUMBER = {1},
PAGES = {20-28},
URL = {https://www.scipublications.com/journal/index.php/UJCSC/article/view/6144},
ISSN = {2831-5162},
DOI = {10.31586/ujcsc.2025.6144},
ABSTRACT = {In this paper, we will examine a rather complex case of the paradoxical nature of certain conclusions that may arise when studying the numerical convergence of a specific nonlinear recursive sequence, known in the literature as Muller’s sequence. To analyze the peculiar computational behavior of this sequence, it is necessary to employ a powerful mathematical framework in order to understand the nontrivial issues that can arise when the software implementation of this seemingly simple mathematical problem. These challenges often stem from the limitations of numerical methods and the inherent errors in computer arithmetic, which can affect the accuracy and stability of the results, particularly when dealing with iterative methods like Muller's sequence.},
}
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AB  - In this paper, we will examine a rather complex case of the paradoxical nature of certain conclusions that may arise when studying the numerical convergence of a specific nonlinear recursive sequence, known in the literature as Muller’s sequence. To analyze the peculiar computational behavior of this sequence, it is necessary to employ a powerful mathematical framework in order to understand the nontrivial issues that can arise when the software implementation of this seemingly simple mathematical problem. These challenges often stem from the limitations of numerical methods and the inherent errors in computer arithmetic, which can affect the accuracy and stability of the results, particularly when dealing with iterative methods like Muller's sequence.
DO  - A Convergence of the Muller’s Sequence
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