非对称Dyck路的三个计数结果

Three Enumerative Results of Skew Dyck Paths

通过半长,左步数,峰的个数,谷的个数及双升的个数对非对称Dyck路进行计数,并通过Lagrange反演定理得到相应的计数公式.我们的结果推广了Detusch文章中的相应结果.

In this paper,we consider the enumeration of skew Dyck paths according to semi-length,number of left steps,number of peaks,number of valleys and number of doublerises,and obtain the corresponding counting formulas by means of the Lagrange inversion theorem.Our results extend previous work of Detusch.