Hankel Matrices for the Period-Doubling Sequence
Combinatorics
2016-06-22 v4 Discrete Mathematics
Formal Languages and Automata Theory
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.
Keywords
Cite
@article{arxiv.1511.06569,
title = {Hankel Matrices for the Period-Doubling Sequence},
author = {Robbert J. Fokkink and Cor Kraaikamp and Jeffrey Shallit},
journal= {arXiv preprint arXiv:1511.06569},
year = {2016}
}