This material has been published in
J. Statist. Plann. Inference 140 (2010), 2260-2270,
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Christian Krattenthaler
Determinants of (generalised) Catalan numbers
(16 pages)
Abstract.
We show that recent determinant evaluations involving Catalan numbers
and generalisations thereof have most convenient explanations by
combining the Lindström-Gessel-Viennot theorem on non-intersecting
lattice paths with a simple determinant lemma from
[Manuscripta Math. 69 (1990), 173-202].
This approach leads also naturally to extensions and
generalisations.
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