Functions of the Binomial Coefficient

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:
Binomial Coefficient
Functions
Online Access:https://scholarship.claremont.edu/hmc_theses/211
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1214&context=hmc_theses
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spelling ndltd-CLAREMONT-oai-scholarship.claremont.edu-hmc_theses-12142019-10-16T03:06:13Z Functions of the Binomial Coefficient Plott, Sean 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. 2008-05-01T07:00:00Z text application/pdf https://scholarship.claremont.edu/hmc_theses/211 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1214&context=hmc_theses HMC Senior Theses Scholarship @ Claremont Binomial Coefficient Functions
collection NDLTD
format Others
sources NDLTD
topic Binomial Coefficient
Functions
spellingShingle Binomial Coefficient
Functions
Plott, Sean
Functions of the Binomial Coefficient
description 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.
author Plott, Sean
author_facet Plott, Sean
author_sort Plott, Sean
title Functions of the Binomial Coefficient
title_short Functions of the Binomial Coefficient
title_full Functions of the Binomial Coefficient
title_fullStr Functions of the Binomial Coefficient
title_full_unstemmed Functions of the Binomial Coefficient
title_sort functions of the binomial coefficient
publisher Scholarship @ Claremont
publishDate 2008
url https://scholarship.claremont.edu/hmc_theses/211
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1214&context=hmc_theses
work_keys_str_mv AT plottsean functionsofthebinomialcoefficient
_version_ 1719268861065297920

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