Look, Knave
Combinatorics
2021-07-01 v2
Abstract
We examine a recursive sequence in which is a literal description of what the binary expansion of the previous term is not. By adapting a technique of Conway, we determine limiting behaviour of and dynamics of a related self-map of . Our main result is the existence and uniqueness of a pair of binary sequences, each the compliment-description of the other. We also take every opportunity to make puns.
Cite
@article{arxiv.2004.06414,
title = {Look, Knave},
author = {Thomas Morrill},
journal= {arXiv preprint arXiv:2004.06414},
year = {2021}
}