Two kinds of partial Motzkin paths with air pockets
Two kinds of partial Motzkin paths with air pockets
Motzkin paths with air pockets (MAP) are defined as a generalization of Dyck paths with air pockets by allowing some horizontal steps with certain conditions. In this paper, we introduce two generalizations. The first one consists of lattice paths in ℕ2 starting at the origin, made of steps U = …