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math.CO2018
Variations of the Catalan numbers from some nonassociative binary operations
Nickolas Hein, Jia Huang
We investigate certain nonassociative binary operations that satisfy a four-parameter generalization of the associative law. From this we obtain variations of the ubiquitous Catala…
math.CO2015
Modular Catalan Numbers
Nickolas Hein, Jia Huang
The Catalan number enumerates parenthesizations of where is a binary operation. We introduce the modular Catalan number to count equivalence cl…