The inversion number statistic on inversion sequences, studied jointly with four others via a q-analog of Comtet's formula, recovers Stirling, Mahonian, Eulerian distributions, Catalan and Narayana numbers, and the number of involutions as special cases.
Eulerian polynomials and theg-indices of Young tableaux.Proc
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The inversion number statistic for inversion sequences
The inversion number statistic on inversion sequences, studied jointly with four others via a q-analog of Comtet's formula, recovers Stirling, Mahonian, Eulerian distributions, Catalan and Narayana numbers, and the number of involutions as special cases.