非对称Motzkin路

文章定义了一种新的格路即非对称Motzkin路,通过路长,左步数对非对称Motzkin路进行计数,并通过Lagrange反演定理得到相应的计数公式。文章的结论是Motzkin路中结果的推广。

In this thesis, we discuss a new lattice path-Skew Motzkin paths.we consider the enumeration of skew Motzkin paths according to length,number of left steps, and obtain the corresponding counting formulas by means of the Lagrange inversion theorem. Our results extend previous work of Motzkin paths.