Algebraic automatic continued fractions in characteristic $2$ II
Number Theory
2023-01-25 v1 Combinatorics
Abstract
We present two families of automatic sequences that define algebraic continued fractions in characteristic . The period-doubling sequence belongs to the first first family ; and its sum, the Thue-Morse sequence, belongs to the second family . The family contains all the iterated sums of sequences from the and more.
Cite
@article{arxiv.2301.09958,
title = {Algebraic automatic continued fractions in characteristic $2$ II},
author = {Yining Hu},
journal= {arXiv preprint arXiv:2301.09958},
year = {2023}
}