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Catalan Numbers with Applications$
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Catalan Numbers with Applications

Thomas Koshy

Print publication date: 2008

Print ISBN-13: 9780195334548

Published to Oxford Scholarship Online: January 2009

DOI: 10.1093/acprof:oso/9780195334548.001.0001

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Binomial Coefficients

Binomial Coefficients

Chapter:
(p.1) 1 Binomial Coefficients
Source:
Catalan Numbers with Applications
Author(s):

Thomas Koshy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195334548.003.0001

This chapter presents a brief introduction to binomial coefficients, the cornerstone of all the discussions in the book. Among the properties discussed are Hermite's divisibility properties. Catalan numbers Cn are introduced.

Keywords:   binomial coefficient, central binomial coefficient, Pascal's identity, Pascal's triangle, Runyon numbers, Hermite's divisibility properties, Catalan numbers

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