Hankel Matrices for the Period-Doubling Sequence
classification
🧮 math.CO
cs.DMcs.FL
keywords
hankelgivedeterminantsmatricesperiod-doublingsequenceconsiderationscorresponding
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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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