3 problems

Let $\mathcal{C}_d$ be the class of $d$-ary sequences rich in palindromes. For each $n\in\mathbb{N}$, let $\mathbf{u}_n$ denote the sequence defined in the paper by the correspondi…

Let $\mathcal{C}_d$ be the class of $d$-ary sequences rich in palindromes, and let … be the repetition threshold, where $E(\mathbf{u})$ is the critical exponent of a sequence. Curr…

Let $m\in\mathbb{N}$, and let $A\in\mathbb{N}^{\mathbb{N}_0}$ be an $m$-palindromic sequence that is not eventually periodic. Let $d_m([A])$ denote its $m$-palindromic density. For…