Non-commutative Frobenius characteristic of generalized parking   functions -- Application to enumeration
  We give a recursive definition of generalized parking function that allows us to view them as a species. From there we compute a non-commutative characteristic of the generalized parking function module, and deduce some enumeration formulas of structures and isomorphism types. We give as well an interpretation in several bases of non-commutative symmetric functions. Finally, we investigate an inclusion-exclusion formula given by Kung and Yan. 
Jean-Baptiste Priez and Aladin Virmaux
math.CO