Explanation:

I wanted to have visual proof/aid to model the total amount of microstates a finite binary system is able to access is related to the binomial coefficents and pascals triangle.

Each horizontal row of pascals triangle corrisponds to a computational system of N bits. The amount of unique distinct microstates they can represent has a structural founding in algebraic combinatorics.

The central binomial coefficents represent average states of high entropy while the outer coefficents corrispond to more ordered unique states of information that are harder to get to computationally.