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What is the summary of Yang Hui's triangle law?
Yang Hui's triangle law

1 and the numbers on the left and right sides of Yang Hui Triangle are 1, and the number inside is equal to the sum of the two numbers on its shoulder.

2. The number in the nth row is 1 1n- 1.

3. The sum of the numbers in the nth row is 2n- 1.

The sum of the numbers on each diagonal is equal to the numbers on the corner.

5. The numbers on each diagonal add up to form a Fibonacci sequence.

6. The number in each line is the coefficient of each term after the polynomial (a+b)n is expanded.

7. Every number in Yang Hui's triangle is a combined number.

Main features:

(1) has symmetry;

(2) The beginning and end of each line are1;

(3) The middle numbers are all equal to the sum of the shoulders.

The rule of Yang Hui Triangle is that the numbers in the first and last column of each row are 1. Starting from the third line, except that the first and last columns are 1, the number of each column is equal to the sum of the two numbers above it. It can be seen from the law that Yang Hui's triangle is symmetrical and is a geometric arrangement of binomial coefficients in the triangle.