Discrete Mathematics and Combinatorics | Mathematics | Physical Sciences and Mathematics
Jennifer Galovich, Mathematics
We consider generalizations of both juggling sequences and non-attacking rook placements. We demonstrate the important connection between these objects, and also propose a generalization of the Eulerian numbers. These generalizations give rise to several interesting counting problems, which we explore.
Banaian, Esther M., "Generalized Eulerian Numbers and Multiplex Juggling Sequences" (2016). All College Thesis Program, 2016-2019. 24.