New normality constructions for continued fraction expansions

TextAdler, Keane, and Smorodinsky showed that if one concatenates the finite continued fraction expansions of the sequence of rationals12,13,23,14,24,34,15,⋯ into an infinite continued fraction expansion, then this new number is normal with respect to the continued fraction expansion. We show a variety of new constructions of continued fraction normal numbers, including one generated by the subsequence of rationals with prime numerators and denominators:23,25,35,27,37,57,⋯.VideoFor a video summary of this paper, please visit https://youtu.be/L7uyAQ7hS74.