3 papers
math.CO2026
Mirror Variations on Catalan Multijections
Muhammad Adam Dombrowski
A Catalan multijection is a way to partition a set of objects into equivalence classes of size , where each equivalence class has exactly one distinct Catalan…
math.CO2024
Connecting the Stirling numbers and -bonacci sums
Muhammad Adam Dombrowski
This paper proves why the Stirling numbers show up in a experimentally determined formula for the -bonaccis. We develop a bijection between a previously determined summation for…
math.CO2024
Areas Between Cosines
Muhammad Adam Dombrowski, Gregory Dresden
We find the area between and as heads to infinity, and we establish a connection between these limiting values and the exponential generating function fo…