Triangular Number: Triangular Number, Triangular Matrix, Mathematics, Linear Algebra, Matrix (Mathematics), Main Diagonal, Numerical Analysis, LU Decomposition, Invertible Matrix
High Quality Content by WIKIPEDIA articles! A triangular number is the number of dots in an equilateral triangle evenly filled with dots. For example, three dots can be arranged in a triangle: thus three is a triangle number. The nth triangle number is the number of dots in a triangle with n dots on a side. The rightmost term in the formula, consisting of the two numbers n + 1 and 2 on top of each other within parentheses, is the standard mathematical notation for a binomial coefficient that counts the number of distinct pairs to be selected from n + 1 objects. In this form the triangular number Tn solves the "handshake problem" of counting the number of handshakes if each person in a room full of n + 1 total people shakes hands once with each other person.
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