Overview

Given d, k, and s, the set of numbers that when written in base (2d + 1) use only digits 0,...,d and whose digits squared sum to s is guaranteed to be free of arithmetic progressions.

Operation

Select d and k and enter s, then click "Go!". The applet will display the corresponding numbers along with their base-(2d + 1) representations. (Warning: the larger k is the longer the applet takes to run.)