A bijection between 3-Motzkin paths and Schröder paths with no peak at odd.
A bijection between planar constellations and some colored Lagrangian trees.
A bijection on Dyck paths and its cycle structure.
A bijective proof of the hook-content formula for super Schur functions and a modified jeu de taquin.
A Catalan transform and related transformations on integer sequences.
A census of vertices by generations in regular tessellations of the plane.
A chaotic cousin of Conway's recursive sequence.
A Characterization of Multidimensional -Automatic Sequences
An infinite word is -automatic if, for all , its st letter is the output of a deterministic automaton fed with the representation of in the considered numeration system . In this extended abstract, we consider an analogous definition in a multidimensional setting and present the connection to the shape-symmetric infinite words introduced by Arnaud Maes. More precisely, for , we state that a multidimensional infinite word over a finite alphabet is -automatic for some abstract numeration...
A closed formula for the number of convex permutominoes.
A closer look at lattice points in rational simplices.
A colorful involution for the generating function for signed Stirling numbers of the first kind.
A combinatorial derivation of the number of labeled forests.
A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials.
A combinatorial interpretation for a super-Catalan recurrence.
A combinatorial interpretation for an identity of Barrucand.
A combinatorial interpretation for certain relatives of the Conolly sequence.
A combinatorial interpretation of the area of Schröder paths.
A combinatorial interpretation of the eigensequence for composition.
A combinatorial interpretation of the numbers .
A combinatorial proof of a formula for Betti numbers of a stacked polytope.