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See link at bottom. Pascal's triangle begins with a 1 at the top. This is row 0. The first row of Pascal's triangle 1,1 corresponding to n = 1 and i = 1 and 2. The second row of Pascal's triangle is 1, 2, 1, corresponding to n = 2 and i = 1, 2, 3 If we have (x+y)^2, we have (1) x^2 + (2)xy + (1) y^2 so Pascal's triangle gives the constants in front of the variables. Also, ai = n!/[i! x (n-i)!] Example, 5th row third element is 10, which is calculated as 5!/[3! x 2!] = 5 x 4/2 = 10. http://en.wikipedia.org/wiki/Pascal's_triangle

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Q: Give mathematical experssion for pascal triangle?
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