3 papers
math.CO2026
Parking Cascades: From the Simplest Sequence to Motzkin and Catalan
Ben Adenbaum, Néstor F. DÃaz Morera, Jennifer Elder +3
We introduce -cascading parking functions, a parametrized variant of parking functions in which cars form bumping cascades of up to cars. Setting recovers cla…
math.CO2025
Generalized Hockey Stick Theorem
Molly Lynch, Michael Weselcouch
We give a combinatorial proof via a sign-reversing involution for a new identity that generalizes both the Hockey Stick Identity and the Big Hockey Stick and Pucks Identity.
math.HO2024
Approximating Mathematical Constants using Minecraft
Molly Lynch, Michael Weselcouch
In this article we will use Minecraft to experimentally approximate the values of four different mathematical constants. The mathematical constants that we will approximate are $\s…