On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2

DOI10.1016/J.FFA.2023.102191arXiv2301.12350MaRDI QIDQ6424692

Publication date: 28 January 2023

Abstract: We present family of automatic sequences that define algebraic continued fractions in characteristic 2. This family is constructed from ultimately period words and contains the period-doubling sequence.

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Automata sequences (11B85) Continued fraction calculations (number-theoretic aspects) (11Y65) Arithmetic theory of polynomial rings over finite fields (11T55) Formal power series rings (13F25)

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