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Catalan Numbers with Applications$
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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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The Central Binomial Coefficient Revisited

The Central Binomial Coefficient Revisited

(p.51) 3 The Central Binomial Coefficient Revisited
Catalan Numbers with Applications

Thomas Koshy

Oxford University Press

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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