Problem of the Week
Hilton Memorial Lecture
When you roll a die, what is the probability that every face has been moved to another location? Starting from this simple problem, I look at integer sequences associated with the number of facet derangements of an n-dimensional hypercube. I briefly survey some previous work, discuss a reformulation of the problem, and give recursive and non-recursive formulas for the sequences.
This is joint work with Liz McMahon.