Open Access Senior Thesis
Bachelor of Science
Arthur T. Benjamin
The well known binomial coefficient is the building block of Pascal’s triangle. We explore the relationship between functions of the binomial coefficient and Pascal’s triangle, providing proofs of connections between Catalan numbers, determinants, non-intersecting paths, and Baxter permutations.
Plott, Sean, "Functions of the Binomial Coefficient" (2008). HMC Senior Theses. 211.