Functions of the Binomial Coefficient

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.

Bibliographic Details
Main Author: Plott, Sean
Format: Others
Published: Scholarship @ Claremont 2008
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/211
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1214&context=hmc_theses