Triangular number
The triangular numbers or triangle numbers are the sequence of positive integers that can be represented as a lattice of points arranged in an equilateral triangle. The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the second row contains two, and this pattern continues up to the n {\displaystyle n} th row, which contains n {\displaystyle n} .