Divisibility of generalized Catalan numbers

Authors:
Matjaž Konvalinka
Affiliations:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Venue:
Journal of Combinatorial Theory Series A
Year:
2007

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Abstract

We define a q generalization of weighted Catalan numbers studied by Postnikov and Sagan, and prove a result on the divisibility by p of such numbers when p is a prime and q its power.