André Permutation Calculus: a Twin Seidel Matrix Sequence

Dominique Foata (1) , Guo-Niu Han (2)

1 LISA - Lieux, Identités, eSpaces, Activités
2 IRMA - Institut de Recherche Mathématique Avancée

Entringer numbers occur in the André permutation combina-torial setup under several forms. This leads to the construction of a matrix refinement of the tangent (respectively secant) numbers. Furthermore, closed expressions for the three-variate exponential generating functions for pairs of so-called Entringerian statistics are derived.

Domaines: Mathématiques [math]; Combinatoire [math.CO]

Dominique Foata, Guo-Niu Han. André Permutation Calculus: a Twin Seidel Matrix Sequence. Seminaire Lotharingien de Combinatoire, 2016. ⟨hal-02125281⟩