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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 29 July 2021

The Central Binomial Coefficient Revisited

The Central Binomial Coefficient Revisited

Chapter:
(p.51) 3 The Central Binomial Coefficient Revisited
Source:
Catalan Numbers with Applications
Author(s):

Thomas Koshy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195334548.003.0003

This chapter continues to investigate the central binomial coefficient in much greater detail. Topics explained include Wallis' product, Lucas numbers, Fermat's little theorem, Carlitz's formula, Stirling's asymptotic formula, Fibonacci numbers, Lucas' formula, and Norton's formula.

Keywords:   Wallis' product, Stirling's asymptotic formula, binomial probability, Fibonacci numbers, Lucas numbers, Lucas' formula, Fermat's little theorem, Norton's formula, Carlitz's formula

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