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Catalan Numbers with Applications
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Catalan Numbers with Applications

Thomas Koshy

Abstract

Fibonacci and Lucas sequences are “two shining stars in the vast array of integer sequences,” and because of their ubiquitousness, tendency to appear in quite unexpected and unrelated places, abundant applications, and intriguing properties, they have fascinated amateurs and mathematicians alike. However, Catalan numbers are even more fascinating. Like the North Star in the evening sky, they are a beautiful and bright light in the mathematical heavens. They continue to provide a fertile ground for number theorists, especially, Catalan enthusiasts and computer scientists. Since the publication ... More

Keywords: Pascal's identity, Pascal's triangle, Catalan numbers, Fibonacci numbers, Lucas numbers, Martin Gardner, Catalan sequence, parenthesization problem, Euler's triangulation problem

Bibliographic Information

Print publication date: 2008 Print ISBN-13: 9780195334548
Published to Oxford Scholarship Online: January 2009 DOI:10.1093/acprof:oso/9780195334548.001.0001

Authors

Affiliations are at time of print publication.

Thomas Koshy, author
Framingham State College

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