Distribution Of Sequences Generated By Certain Simply-Constructed Normal Numbers

Demi Allen, Sky Brewer

In 1949 Wall showed that $x=0.d_1{d}_2{d}_3\dots$ is normal if and only if $(0.d_n{d}_{n+1}{d}_{n+2}\dots {)}_n$ is a uniformly distributed sequence. In this article, we consider sequence…