6533b85efe1ef96bd12c0352

RESEARCH PRODUCT

Counting Prefixes of Skew Dyck Paths

Jean-luc BarilJosé Luis RamirezLina Maria Simbaqueba

subject

[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]Riordan arrayLagrange inversionSkew Dyck pathGenerating function

description

We present enumerative results on prefixes of skew Dyck paths by giving recursive relations, Riordan arrays, and generating functions, as well as closed formulas to count the total number of these paths with respect to the length, the height of its endpoint and the number of left steps.

https://hal.science/hal-03523809