Hankel matrices for the period-doubling sequence
Journal Article
(2017)
Author(s)
Robbert Fokkink (TU Delft - Applied Probability)
C. Kraaikamp (TU Delft - Applied Probability)
Jeffrey Shallit (University of Waterloo)
Research Group
Applied Probability
DOI related publication
https://doi.org/10.1016/j.indag.2016.11.008
To reference this document use:
https://resolver.tudelft.nl/uuid:ee17d87f-cd65-4780-9916-07f9cab0b046
More Info
expand_more
expand_more
Publication Year
2017
Language
English
Research Group
Applied Probability
Bibliographical Note
Part of Special Issue on Automatic Sequences, Number Theory, and Aperiodic Order@en
Issue number
1
Volume number
28
Pages (from-to)
108-119
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.
No files available
Metadata only record. There are no files for this record.