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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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Tribinomial Coefficients

Tribinomial Coefficients

Chapter:
(p.357) 16 Tribinomial Coefficients
Source:
Catalan Numbers with Applications
Author(s):

Thomas Koshy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195334548.003.0016

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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