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.
Stanley.Catalan numbers
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.