Generating functions for the number of lattice paths restricted by two parallel hyperplanes (Q1209657)
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scientific article; zbMATH DE number 168243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generating functions for the number of lattice paths restricted by two parallel hyperplanes |
scientific article; zbMATH DE number 168243 |
Statements
Generating functions for the number of lattice paths restricted by two parallel hyperplanes (English)
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16 May 1993
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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.
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enumeration problem
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lattice paths
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generating function
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0.9188628
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0.9066236
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0.9015635
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0.89042693
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0.88639784
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