Hankel Matrices for the Period-Doubling Sequence

  title={Hankel Matrices for the Period-Doubling Sequence},
  author={Robbert J. Fokkink and Cor Kraaikamp and Jeffrey Shallit},
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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Local symmetries in the period-doubling sequence
  • D. Damanik
  • Computer Science, Mathematics
  • Discret. Appl. Math.
  • 2000
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