Abstract
Let NCn denote the set of noncrossing partitions of [n]={1,2,…,n}. By defining a group action on the set NCn, we give a combinatorial interpretation of the expansion of the n-th Narayana polynomial on the basis {qk(1+q)n−1−2k},k=0,1,…,⌊(n−1)/2⌋.
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