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arXiv:2309.15557 [math.CO]AbstractReferencesReviewsResources

Some results and conjectures about Hankel determinants of sequences which are related to Catalan-like numbers

Johann Cigler

Published 2023-09-27Version 1

Martin Aigner introduced Catalan-like numbers as elements of the first column of admissible matrices and studied Hankel determinants of their forward shifts. In this paper we collect some properties of the Hankel determinants of the other columns which are suggested by computer experiments. By prepending zero rows to admissible matrices we also consider Hankel determinants of backward shifts.

Comments: 14 pages
Categories: math.CO
Subjects: 05A10, 11C20, 15A15
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