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On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2
Institution:1. Department of Mathematics and Computer Science, Santa Clara University, 500 El Camino Real, 95053, USA;2. Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada;1. Dipartimento di Matematica, Università degli studi di Trento, Italy;2. College of Science, National University of Defense Technology, Changsha, 410073, China;1. School of Mathematics, Shandong University, Jinan, 250100, China;2. Hubei Key Laboratory of Applied Mathematics, School of Cyber Science and Technology, Hubei University, Wuhan, 430062, China;3. Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan, 430062, China;1. College of Science, National University of Defense Technology, Changsha, 410073, China;2. Hunan Engineering Research Center of Commercial Cryptography Theory and Technology Innovation, Changsha 410073, China;1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, PR China;2. School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, PR China
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.
Keywords:Algebraicity  Automatic sequence  Continued fraction  Period-doubling sequence
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