Tribinomial coefficients and Catalan numbers
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Published:2009-11
Issue:528
Volume:93
Page:449-455
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ISSN:0025-5572
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Container-title:The Mathematical Gazette
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language:en
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Short-container-title:Math. gaz.
Author:
Koshy Thomas,Salmassi Mohammad
Abstract
The concept of the ordinary binomial coefficientcan be employed to construct an interesting family of positive integers. Such a family was introduced around 1974 by W. Hansell using the triangular numbers , where we call them tribinomial coefficients since they are binomial coefficients for triangular numbers. To this end, first we define corresponding to and For example,
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference5 articles.
1. Triangular numbers;Hoggatt;Fibonacci Quarterly,1974
2. Parity and primality of Catalan numbers;Koshy;College Mathematics Journal,2005
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1. Families of linear recurrences for Catalan numbers;International Journal of Mathematical Education in Science and Technology;2011-01-15