/sci/ - Science & Math

>>6572050
that shits related to pascals triangle, believe it or not. I've been shitting my brains out the last few day over something similar
this is actually pretty simple, if you lay out pascals triangle on that grid, with the first one in the corner, and they add up towards the opposite corner
the square (or vertex) where each number lands is going to be the number of optimal paths to that point
in short;
<div class="math"> r = k \rightarrow \binom{2k}{k} </div>