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Inversion-descent enumerators of -avoiding permutations
Qiongqiong Pan
Source abstract
We give the recurrence relation for counting polynomials for permutations avoiding the $\321$ vincular pattern, with respect to inversion numbers and descent numbers, and consequently give the -exponential generating function for these counting polynomials. Furthermore, we give another explanation for these counting polynomials in terms of restricted-growth words.
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