Geodesic
A permutations representation that knows what "Eulerian" means
Discrete mathematics & theoretical computer science, Tome 4 (2000-2001) no. 2.

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Eulerian numbers (and ''Alternate Eulerian numbers'') are often interpreted as distributions of statistics defined over the Symmetric group. The main purpose of this paper is to define a way to represent permutations that provides some other combinatorial interpretations of these numbers. This representation uses a one-to-one correspondence between permutations and the so-called \emphsubexceedant functions. 
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     title = {A permutations representation that knows what {"Eulerian"} means},
     journal = {Discrete mathematics & theoretical computer science},
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Mantaci, Roberto; Rakotondrajao, Fanja. A permutations representation that knows what "Eulerian" means. Discrete mathematics & theoretical computer science, Tome 4 (2000-2001) no. 2. doi : 10.46298/dmtcs.271. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.271/

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