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Tribinomial coefficients and Catalan numbers
Published online by Cambridge University Press: 01 August 2016
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The concept of the ordinary binomial coefficient
can 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,
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