Counting Points on the Divisor Lattice
Below is an applet that counts the number of Divisor points under a Parabola. It is remarkable to see that this sequence is none other than the Triangular Numbers. The triangular numbers can also be generated by finding the sum of the natural numbers from 1 up to n.
OEIS A000217 = {1 3 6 10 15 21 28 35...} =
Click on Divisor Lattice Field to show Divisor Points
X:Y Coordinates
The next graphic will place the X:Y coordinates of each point into 2-Triangle form. The y-axis triangle is an existing triangle array, but currently lacks any publications linking the two.