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Wikipedia definition
1. Triangular numberA triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n. The sequence of triangular numbers is: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, .... The triangle numbers are given by the following explicit formulas: where is a binomial coefficient.
Read “Triangular number” on English Wikipedia
Read “三角数” on Japanese Wikipedia
Read “Triangular number” on DBpedia

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