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math.CO2014
Counting paths in corridors using circular Pascal arrays
Shaun V. Ault, Charles Kicey
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…
math.CO2014
Erdos-Szekeres tableaux
Shaun V. Ault, Benjamin Shemmer
We explore a question related to the celebrated Erdős-Szekeres Theorem and develop a geometric approach to answer it. Our main object of study is the Erdős-Szekeres tableau, or EST…