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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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Pascal' Triangle and Catalan Numbers

Pascal' Triangle and Catalan Numbers

Chapter:
(p.313) 12 Pascal' Triangle and Catalan Numbers
Source:
Catalan Numbers with Applications
Author(s):

Thomas Koshy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195334548.003.0012

This chapter shows the various ways Catalan numbers can be extracted from Pascal's triangle. It includes discussion of nonisomorphic groups, Catalan polynomials, Touchard's recursive formula, and Jonah's theorem.

Keywords:   nonisomorphic groups, Touchard's recursive formula, Catalan polynomials, Jonah's theorem, Pascal's triangle

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