Title of article
Counting paths in corridors using circular Pascal arrays
Author/Authors
Ault، نويسنده , , Shaun V. and Kicey، نويسنده , , Charles، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
10
From page
45
To page
54
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
Binomial coefficient , Corridor path , Discrete linear operator , Lattice path
Journal title
Discrete Mathematics
Serial Year
2014
Journal title
Discrete Mathematics
Record number
1600736
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