The Super Catalan Numbers S(m, m + s) for s ≤ 4

2012/08/21 by Xin Chen, Jane Wang, Chen, Xin +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1208.4196

arxiv created 2012/08/21 · arxiv updated 2012/08/22

Abstract

We give a combinatorial interpretation using lattice paths for the super Catalan number S(m, m+s) for s ≤ 3 and a separate interpretation for s = 4.

Related

• Super-Catalan Numbers of the Third and Fourth Kind
• A Combinatorial Interpretation of j/n kn\choosen+j
• A weighted interpretation for the super Catalan numbers
• Are the Catalan Numbers a Linear Recurrence Sequence?
• Generalized Catalan numbers from hypergraphs