Question 158956
What other interesting patterns can you find in Pascal's triangle? 
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
-----------
It's the coefficients of a binomial expansion, ie, 
1                   (x+1)^0 = 1
1 1                 (x+1)^1 = 1x + 1
1 2 1               (x+1)^2 = 1x^2 + 2x + 1
1 3 3 1             (x+1)^3 = 1x^3 + 3x^2 + 3x + 1
1 4 6 4 1           (x+1)^4 = 1x^4 + 4x^3 + 6x^2 + 4x + 1
1 5 10 10 5 1       (x+1)^5 = 1x^5 + 5x^4 + 10x^3 + 10x^2 + 5x + 1