Experimental mathematics means using computer software to generate all objects satisfying desired conditions. We then analyze this set of objects, leading to conjectures based on the collected data, and to insight that informs proof. While in other sciences, experiments give approximations, our experiments always give exact results. It's up to us to learn and prove what we can!
Prof. Hanusa supervises a few students every semester on these projects in the exp(ML). The best preparation to participate in projects is to take his Combinatorics class (Math 636) and to have some programming experience. Contact him directly if you are interested in joining the fun.