ON THE DIVISIBILITY OF SUMS OF q-SUPER CATALAN NUMBERS
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DOI: 10.1017/s0004972723000400
Abstract: The integrality of the numbers $A_{n,m}={(2n)!(2m)!}/{n!m!(n+m)!}$ was observed by Catalan as early as 1874 and Gessel named $A_{n,m}$ the super Catalan numbers. The positivity of the q-super Catalan numbers (q-analogue of the super Catalan numbers)… read more here.
Keywords: sums super; divisibility sums; catalan numbers; super catalan ... See more keywords