Hankel matrices for the period-doubling sequence

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Hankel matrices for the period-doubling sequence

Journal Article (2017)

Author(s)

Robbert Fokkink (TU Delft - Applied Probability)

Cornelis Kraaikamp (TU Delft - Applied Probability)

Jeffrey Shallit (University of Waterloo)

DOI related publication

https://doi.org/10.1016/j.indag.2016.11.008 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:ee17d87f-cd65-4780-9916-07f9cab0b046

More Info

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Publication Year

2017

Language

English

Bibliographical Note

Part of Special Issue on Automatic Sequences, Number Theory, and Aperiodic Order

Journal title

Indagationes Mathematicae

Issue number

1

Volume number

28

Pages (from-to)

108-119

Downloads counter

164

Abstract

We give an explicit evaluation, in terms of products of Jacobsthal numbers, of the Hankel determinants of order a power of two for the period-doubling sequence. We also explicitly give the eigenvalues and eigenvectors of the corresponding Hankel matrices. Similar considerations give the Hankel determinants for other orders.