Enumerating Permutations Avoiding More Than Three Babson-Steingrímsson Patterns

Journal of integer sequences

关键词: Mock theta functions;    theta functions;    Gaussian polynomials;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Waterloo * Department of Computer Science

【 摘 要 】

Claesson and Mansour recently proposed some conjectures about the enumeration of the permutations avoiding more than three Babson-Steingrímsson patterns (generalized patterns of type (1,2) or (2,1)). The avoidance of one, two or three patterns has already been considered. Here, the cases of four and five forbidden patterns are solved and the exact enumeration of the permutations avoiding them is given, confirming the conjectures of Claesson and Mansour. The approach we use can be easily extended to the cases of more than five forbidden patterns.

【 授权许可】

Unknown