Pascal's triangle, is a pattern found in certain numbers when arranged a certain way. This concept can get very complicated because it is based in binomial expansion.
If you can imagine starting at the top with a 1, and building the second row based on adding the adjacent numbers above and keeping the frame as 1s
1
11
121
1331
_____ <- this row would be created by adding 1+3. 3+3, 3+1, with a 1 digit on both sides
When you build a large pyramid more patterns can be found
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