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

Jean-Paul Allouche, Jeffrey Shallit, Zhixiong Wen +2

First, we show that the sum-free set generated by the period-doubling sequence is not $\kappa$-regular for any $\kappa \ge 2$. Next, we introduce a generalization of the period-doubling sequ…