Arithmetic and Polygonal Properties of Number Triangle

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S. U. Malini, R. Arundhadhi


Among several number triangles that exist in mathematics, Pascal’s triangle is the most fascinating and prominent structure possessing numerous properties. In this paper, we will introduce a number triangle consisting of positive integers arranged in ascending to descending order so that the entries in each row would be mirror images with respect to its middle number. Using this simple number triangle, we have proved six amusing results which interestingly depend only as functions of its centred numbers.Moreover some of the concepts and results discussed in this paper have connection with Tamil literary work and triangular numbers.

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