| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4646893 | Discrete Mathematics | 2014 | 10 Pages |
Abstract
A circular Pascal array is a periodization of the familiar Pascal’s triangle. Using simple operators defined on periodic sequences, we find a direct relationship between the ranges of the circular Pascal arrays and numbers of certain lattice paths within corridors, which are related to Dyck paths. This link provides new, short proofs of some nontrivial formulas found in the lattice-path literature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Shaun V. Ault, Charles Kicey,