119 citations · 207 across the 21 of their papers we have counts for
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Explicit formulas for enumeration of lattice paths: basketball and the kernel method
Cyril Banderier, Christian Krattenthaler, Alan Krinik +4
This article deals with the enumeration of directed lattice walks on the integers with any finite set of steps, starting at a given altitude and ending at a given altitude ,…
The kernel method for lattice paths below a line of rational slope
Cyril Banderier, Michael Wallner
We analyse some enumerative and asymptotic properties of lattice paths below a line of rational slope. We illustrate our approach with Dyck paths under a line of slope . This…
Lattice paths of slope 2/5
Cyril Banderier, Michael Wallner
We analyze some enumerative and asymptotic properties of Dyck paths under a line of slope 2/5.This answers to Knuth's problem \\#4 from his "Flajolet lecture" during the conference…
Some reflections on directed lattice paths
Cyril Banderier, Michael Wallner
This article analyzes directed lattice paths, when a boundary reflecting or absorbing condition is added to the classical models. The lattice paths are characterized by two time-in…