Geodesic
The Rudin–Shapiro Sequence and Similar Sequences Are Normal Along Squares
Canadian journal of mathematics, Tome 70 (2018) no. 5, pp. 1096-1129

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DOI

We prove that digital sequences modulo $m$ along squares are normal, which covers some prominent sequences, such as the sum of digits in base $q$ modulo $m$ , the Rudin–Shapiro sequence, and some generalizations. This gives, for any base, a class of explicit normal numbers that can be efficiently generated.
DOI : 10.4153/CJM-2017-053-1
Mots-clés : 11A63, 11B85, 11L03, 11N60, 60F05, Rudin–Shapiro sequence, digital sequences, normality, exponential sums 
Müllner, Clemens. The Rudin–Shapiro Sequence and Similar Sequences Are Normal Along Squares. Canadian journal of mathematics, Tome 70 (2018) no. 5, pp. 1096-1129. doi: 10.4153/CJM-2017-053-1
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     author = {M\"ullner, Clemens},
     title = {The {Rudin{\textendash}Shapiro} {Sequence} and {Similar} {Sequences} {Are} {Normal} {Along} {Squares}},
     journal = {Canadian journal of mathematics},
     pages = {1096--1129},
     year = {2018},
     volume = {70},
     number = {5},
     doi = {10.4153/CJM-2017-053-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-053-1/}
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