Summary: In this paper, we provide a bijection between the set of restricted (2,3)-Motzkin paths of length $n$ and the set of Schröder paths of semilength $n$. Furthermore, we give a one-to-one correspondence between the set of (2,3)-Motzkin paths of length $n$ and the set of little Schröder paths of semilength $n+1$. By applying the bijections, we get the enumerations of Schröder paths according to the statistics "number of $udd$'s" and "number of $hd$'s".

05A15, 05A19

schr$\ddot $oder path, (2, 3)-Motzkin path