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Article (Scientific journals)
Redundance in the Signed m-Bonacci Numeration System
Vandomme, Elise; Masáková, Zuzana
2021 • In Journal of Integer Sequences, 24 (7)
Peer reviewed
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https://hdl.handle.net/2268/321919
 

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Keywords :
numeration system; linear numeration system; m-bonacci number
Abstract :
[en] We study redundance in the signed m-bonacci numeration system. We determine the number of representations of 0 in this system and describe the automaton accepting the language of such representations. We reveal a surprising connection between Fibonacci and Tribonacci numbers.
Disciplines :
Mathematics
Author, co-author :
Vandomme, Elise  ✱;  Université de Liège - ULiège > Mathematics
Masáková, Zuzana ✱;  Czech Technical University in Prague > Department of Mathematics
✱ These authors have contributed equally to this work.
Language :
English
Title :
Redundance in the Signed m-Bonacci Numeration System
Publication date :
2021
Journal title :
Journal of Integer Sequences
eISSN :
1530-7638
Publisher :
University of Waterloo, Canada
Volume :
24
Issue :
7
Peer reviewed :
Peer reviewed
Additional URL :
https://cs.uwaterloo.ca/journals/JIS/VOL24/Masakova/masa4.pdf
Funding text :
This work was supported by the project CZ.02.1.01/0.0/0.0/16 019/0000778 from European Regional Development Fund.
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since 11 September 2024

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