Partial Dyck path interpretation for three sequences in the Encyclopedia of Integer Sequences

2024/08/02 by Prodinger, Helmut
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2408.01290

Abstract

Descents of odd length in Dyck paths are discussed, taking care of some variations. The approach is based on generating functions and the kernel method and augments relations about them from the Encyclopedia of Integer Sequences, that were pointed out by David Callan.

Related

• Dispersed Dyck paths revisited
• Dyck Numbers, I. Successor Function
• Skew Dyck paths having no peaks at level 1
• Skew Dyck paths without up--down--left
• Partial skew Dyck paths -- a kernel method approach