Journal of Integer Sequences, Vol. 24 (2021), Article 21.7.2

Redundance in the Signed m-Bonacci Numeration System

Zuzana Masáková and Élise Vandomme
Department of Mathematics FNSPE
Czech Technical University in Prague
Trojanova 13
120 00 Praha 2
Czech Republic


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.

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Received May 6 2021; revised version received June 2 2021; June 4 2021. Published in Journal of Integer Sequences, June 4 2021.

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