# Hankel Matrices for the Period-Doubling Sequence

@article{Fokkink2015HankelMF,
title={Hankel Matrices for the Period-Doubling Sequence},
author={Robbert J. Fokkink and Cor Kraaikamp and Jeffrey Shallit},
journal={ArXiv},
year={2015},
volume={abs/1511.06569}
}
• Published 2015
• Mathematics, Computer Science
• ArXiv
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.
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