Calculates and visualizes the Recamán sequence up to a given point.
Definition:
- Start at 0
- The step size increments each time from one upwards
- No number may occur more than once
- No negative numbers are allowed
- If possible take the descending step
The begin of the sequence is: 0, 1, 3, 6, 2, 7, 13, 20, 12 ...
The steps are visualized by semi-circles alternately below and above the number line, resulting in the picture presented in Numberphile's YouTube video
Here the resulting picture for 66 steps: