How to interpret Pascal's Triangle for negative numbers?

[PLAGUE]

TL;DR Summary

Intuition behind extended Pascal's Triangle.

This answer shows an extended version of Pascal's Triangle that works for negative numbers too.

In This video, Sal shows how to interpret the members of Pascal's Triangle as the sum of all the possible paths to get to that member.

Is there any way we can use this same 'sum of all the possible paths' to interpret This extended version of Pascal's Triangle?