The doubloon polynomial triangle

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

1 Institut Lothaire
2 IRMA - Institut de Recherche Mathématique Avancée

The doubloon polynomials are generating functions for a class of combinatorial objects called normalized doubloons by the compressed major index. They provide a refinement of the $q$-tangent numbers and also involve two major specializations: the Poupard triangle and the Catalan triangle.

Domaines: Combinatoire [math.CO]

Dominique Foata, Guo-Niu Han. The doubloon polynomial triangle. Ramanujan Journal, 2009, 20 p. ⟨hal-00438484⟩