Generating functions for the number of lattice paths restricted by two parallel hyperplanes
The following enumeration problem is considered: What is the number of lattice paths in the non-negative orthant of the \((k+1)\)-dimensional integer lattice between the origin and an arbitrary lattice point, if the paths must stay between two parallel hyperplanes of rational normal vectors. The corresponding generating function is shown to be a rational function in \(k\) variables.
scientific article; zbMATH DE number 168243