2000 character limit reached
Algebraic automatic continued fractions in characteristic $2$ II (2301.09958v1)
Published 24 Jan 2023 in math.NT and math.CO
Abstract: We present two families of automatic sequences that define algebraic continued fractions in characteristic $2$. The period-doubling sequence belongs to the first first family $\mathcal{P}$; and its sum, the Thue-Morse sequence, belongs to the second family $\mathcal{G}$. The family $\mathcal{G}$ contains all the iterated sums of sequences from the $\mathcal{P}$ and more.