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Yang Hui triangle

From;  Author:Stand originally
Yang Hui triangle is a triangular number list that ranks by the number, common form is as follows:


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


. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
The feature with Yang Hui the most essential triangle is, two its bevel edge are by the number of 1 composition, and the number of the others is two several the sum that are equal to its shoulder to go up.


Actually, mathematician of Chinese ancient time is in the position of be far ahead in a lot of main fields in maths. Maths of Chinese ancient time history once had oneself effulgent canto, and discovery of Yang Hui three-cornered is very wonderful one page.


Yang Hui, word modest is smooth, person of Hangzhou of period of Northen Song Dynasty. What wrote 1261 in him " detailed Jie Jiuzhang is algorithmic " in one book, compile the triangle that as above place shows counts a watch, say for " source of evolution course of action " graph.
And a such triangle also are to often be used in our abstruse number contest, the simplest is to call you to seek the rule. Specific usage we will be tuitional in education content.


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