Within Pascal's triangle, there are man interesting patterns. The simple ones that everyone knows are that each row, when added, is a power of two and that each row is a power of 11. There are others including looking at the triangle diagonally, the first row is all 1's, the second row increases by 1 (1,2,3,4,5....etc) the third row goes up by 2, then 3 then 4, then 5, then 6..etc. The Fibonacci sequence was even found in Pascal's triangle, if, instead of the normal shape of the triangle, you make it look like a right triangle starting each row on the left in stead of the middle, then you add the rows diagonally, you get the Fibonacci sequence. The triangle was not the only thing that Pascal did, he also invented a lot of helpful tools. The Pascaline, the Roulette Machine, the Wrist Watch, and he even had a unit of measurement named after him. When looking at Blaise Pascal's life and accomplishments, its easy to realize that he was a very influential person to mathematic.
http://inventors.about.com/od/frenchinventors/a/Biography-Of-Blaise-Pascal.htm