Concatenations of Terms of an Arithmetic Progression

Florian Luca, Bertrand Teguia Tabuguia

Let $(u(n){)}_{n\in \mathbb{N}}$ be an arithmetic progression of natural integers in base $b\in \mathbb{N}\setminus \{0,1\}$. We consider the following sequences: $s(n)=\overline{u(0)u…