Introduction to Yang Hui Triangle:

The most essential feature of Yang Hui Triangle is that its two hypotenuses are all composed of the number 1, and the other numbers are equal to the sum of the two numbers on its shoulders. In fact, ancient mathematicians in China were far ahead in many important mathematical fields. The history of ancient mathematics in China once had its own glorious chapter, and the discovery of Yang Hui's triangle was a wonderful one.

Yang Hui was born in Hangzhou in the Northern Song Dynasty. In his book "Detailed Explanation of Algorithms in Nine Chapters" written by 126 1, he compiled a triangle table as shown above, which is called an "open root" diagram. And such triangles are often used in our Olympic Games. The simplest thing is to ask you to find a way.

Yang Hui Triangle, also known as Jia Xian Triangle, Pascal Triangle and Pascal Triangle, is a geometric arrangement of binomial coefficients in triangles. Yang Hui's triangle also corresponds to the coefficient of binomial theorem. The binomial coefficient of degree n corresponds to the n+ 1 line of Yang Hui triangle.

Yang Hui was born in Hangzhou in the Southern Song Dynasty. In his book "Detailed Explanation of Nine Chapters Algorithm" written by 126 1, he compiled a triangular table as shown above, which is called the Origin of Rooting, and explained that this table was quoted from the middle of 1 1 century (about AD 1050). Therefore, Yang Hui Triangle is also called "Jia Xian Triangle".