A. Bu

activity

20202026

most citedUsing Symbolic Computation to Explore Generalized Dyck Paths and Their Areas

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2024Show all

2 papers · 1 filter

math.CO2024

A Short Proof that the number of $(a, b)$ -parking functions of length n $a (a + bn)^{n - 1}$

AJ Bu, Doron Zeilberger

We give a very short proof of the fact that the number of $(a, b)$ -parking functions of length $n$ equals $a (a + bn)^{n - 1}$ . This was first proved in 2003 by Kung and Yan, via a very…

math.CO2024

Explicit Expressions for the First 20 Moments of the Area Under Dyck and Motzkin Paths

AJ Bu, Shalosh B. Ekhad, Doron Zeilberger

Starting from AJ Bu's recent article that computed explicit expressions for the GENERATING functions of sums of powers of areas under Dyck and Motzkin paths, we deduce from them ex…

A Short Proof that the number of (a,b)-parking functions of length n a(a+bn)n−1

Explicit Expressions for the First 20 Moments of the Area Under Dyck and Motzkin Paths

A Short Proof that the number of $(a, b)$ -parking functions of length n $a (a + bn)^{n - 1}$