Graduation Year
2008
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Arthur T. Benjamin
Reader 2
Kimberly Tucker
Abstract
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.
Recommended Citation
Plott, Sean, "Functions of the Binomial Coefficient" (2008). HMC Senior Theses. 211.
https://scholarship.claremont.edu/hmc_theses/211
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