Hankel matrices for the period-doubling sequence |
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| Affiliation: | 1. Applied Mathematics, TU Delft, Mekelweg 4, 2628 CD Delft, Netherlands;2. School of Computer Science, University of Waterloo, Waterloo, ON N2L 3G1, Canada |
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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. |
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