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LOOK, KNAVE
Published online by Cambridge University Press: 21 October 2020
Abstract
We examine a recursive sequence in which $s_n$ is a literal description of what the binary expansion of the previous term $s_{n-1}$ is not. By adapting a technique of Conway, we determine the limiting behaviour of $\{s_n\}$ and dynamics of a related self-map of $2^{\mathbb {N}}$ . Our main result is the existence and uniqueness of a pair of binary sequences, each the complement-description of the other. We also take every opportunity to make puns.
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- Research Article
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- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
Dedicated to the life and works of John Horton Conway
Supported by Australian Research Council Discovery Project DP160100932.