What is Pascal's triangle?
One of the most interesting Number Patterns is Pascal's Triangle. It is named after Blaise Pascal.
To build the triangle, always start with "1" at the top, then continue placing numbers below it in a triangular pattern.
Each number is the two numbers above it added together (except for the edges, which are all "1").
Interesting part is this:
The first diagonal is just "1"s, and the next diagonal has the counting numbers. The third diagonal has the triangular numbers. The fourth diagonal has the tetrahedral numbers.
Many interesting things about this topic you can look here.