Some bijections for lattice paths

Abstract

We present three bijections, the first between little Schröder paths and a class of growth-constrained integer sequences, the second between lattice paths consisting of steps with nonnegative slope and another class of growth-constrained sequences, the third between a class of lattice paths with steps $(1,1)$ and $(1,-j),j\ge 1$, and a class with steps $(k,1),k\ge 1$, and $(1,-1)$.

6 pages, 4 figures

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