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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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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: 16 October 2021

Tribinomial Coefficients

Tribinomial Coefficients

(p.357) 16 Tribinomial Coefficients
Catalan Numbers with Applications

Thomas Koshy

Oxford University Press

This chapter extends the definition of a binomial coefficient using triangular numbers. In the process, Hermite's divisibility properties, Hoggatt–Hansell identity, and Catalan numbers are visited. It also shows how tribinomial coefficients can be extracted from Pascal's triangle.

Keywords:   tribinomial coefficient, Hoggatt–Hansell identity, central tribinomial coefficient, Hermite's divisibility, binomial coefficient

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