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math.CO2023
Explicit Generating Functions for the Sum of the Areas Under Dyck and Motzkin Paths (and for Their Powers)
AJ Bu
In this paper, we first describe how to find the generating function for the sum of the areas under generalized Dyck paths (with an arbitrary set of steps) using Motzkin paths as a…
math.CO2023★ 1 cited
Using Symbolic Computation to Explore Generalized Dyck Paths and Their Areas
AJ Bu, Doron Zeilberger
We show the power of Bruno Buchberger's seminal Groebner Basis algorithm, interfaced, seamlessly, with what we call symbolic dynamical programming, to automatically generate algebr…