Sum-free sets generated by the period-k-folding sequences and some Sturmian sequences

First, we show that the sum-free set generated by the period-doubling sequence is not $\kappa$-regular for any $\kappa\geq 2$. Next, we introduce a generalization of the period-doubling sequence, which we call the period-$k$-folding sequences. We show that the sum-free sets generated by the period-$...

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Hauptverfasser:	Allouche, Jean-Paul, Shallit, Jeffrey, Wen, Zhixiong, Wu, Wen, Zhang, Jiemeng
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics
Online-Zugang:	Volltext bestellen
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