Hankel determinants for convolution powers of Motzkin numbers

Published 28 Feb 2025 in math.CO and math.NT | (2502.21050v1)

Abstract: We evaluate the Hankel determinants of the convolution powers of Motzkin numbers for $r\leq 27$ by finding shifted periodic continued fractions, which arose in application of Sulanke and Xin's continued fraction method. We also conjecture some polynomial characterization of these determinants.

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