On three conjectures of P. Barry
J.-P. Allouche, J. Shallit

TL;DR
This paper proves three conjectures related to the paperfolding sequence, advancing understanding in this area of combinatorics and sequence analysis.
Contribution
It provides formal proofs for three conjectures concerning the properties of the paperfolding sequence, addressing open questions from prior research.
Findings
Proved three conjectures about the paperfolding sequence
Enhanced understanding of sequence properties
Addressed open problems from previous work
Abstract
We prove three conjectures, related to the paperfolding sequence, in a recent paper [arXiv:2005.04066] of P. Barry.
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Taxonomy
Topicssemigroups and automata theory · Algorithms and Data Compression · Coding theory and cryptography
