Binomial Coefficients and Triangular Numbers

Kantaphon Kuhapatanakul and Antony G. Shannon
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Kantaphon Kuhapatanakul: Kasetsart University, Thailand
Antony G. Shannon: University of New South Wales, Australia

European Journal of Mathematics and Statistics, 2021, vol. 2, issue 3, 22-24

Abstract: We produce formulas of sums the product of the binomial coefficients and triangular numbers. And we apply our formula to prove an identity of Wang and Zhang. Further, we provide an analogue of our identity for the alternating sums.

Keywords: binomial coefficient; triangular number (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:2:y:2021:i:3:id:14031

DOI: 10.24018/ejmath.2021.2.3.31

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