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On some conjectures of P. Barry

Authors :
Jean-Paul Allouche
Jeffrey Shallit
Guo-Niu Han
Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586))
Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)
Institut de Recherche Mathématique Avancée (IRMA)
Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)
Sorbonne Université (SU)
Austrian Academy of Sciences (OeAW)
Source :
Journal of Number Theory, Journal of Number Theory, Elsevier, 2021, 228, pp.108-132. ⟨10.1016/j.jnt.2021.03.015⟩
Publication Year :
2021
Publisher :
HAL CCSD, 2021.

Abstract

We prove a number of conjectures [arXiv:2005.04066] recently stated by P. Barry, related to the paperfolding sequence and the Rueppel sequence.<br />this supersedes also the paper arXiv:2006.04708

Details

Language :
English
ISSN :
0022314X and 10961658
Database :
OpenAIRE
Journal :
Journal of Number Theory, Journal of Number Theory, Elsevier, 2021, 228, pp.108-132. ⟨10.1016/j.jnt.2021.03.015⟩
Accession number :
edsair.doi.dedup.....fb03711375f8cbf87f50d00668bb2b8a