Hankel matrices for the period-doubling sequence

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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.

Original languageEnglish
Pages (from-to)108-119
Number of pages12
JournalIndagationes Mathematicae
Volume28
Issue number1
DOIs
Publication statusPublished - 2017

Bibliographical note

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

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