The Rudin–Shapiro Sequence and Similar Sequences Are Normal Along Squares
Clemens Müllner · Canadian Journal of Mathematics · 2017
Abstract We prove that digital sequences modulomalong squares are normal, which covers some prominent sequences, such as the sum of digits in baseqmodulom, the Rudin–Shapiro sequence, and some generalizations. This gives, for any base, a class of explicit normal numbers that can be efficiently generated.