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Yang Hui's triangle

Yang Hui's triangle shows the coefficients of the binomium in the form

(a + b)n = an + n a− 1b + ½ n (n − 1) an −2b2  + ···

 


Explanation

A number is calculated as the sum of the numbers at the left and the right just above it. You see it by 56 = 35 + 21.

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1

 


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