Hankel matrices for the period-doubling sequence

Journal article (2017)

Authors

R.J. Fokkink Applied Probability - EEMCS
C. Kraaikamp Applied Probability - EEMCS
Jeffrey Shallit University of Waterloo
Research Group
Applied Probability (EEMCS) (TU Delft)
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Published Date

2017

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Applied Probability

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.