图1是一个非凡的图形.它刊载于七百多年前南宋数学家杨辉著的《详解九章算法》书中(1261年),我们称它为杨辉三角.杨辉还在书中说,这个图出自于贾宪的《释锁》算书.可惜贾宪的书失传了.在西方的一些数学史著作中,却把这个图称为“帕斯卡三角”,认为是法国数学家帕斯卡(Ｐａｓｃ Figure 1 is an extraordinary graph. It was published in the book “Detailed Explanation of the Nine Chapters Algorithm” written by Yang Xie, a mathematician of the Southern Song Dynasty, in the year 1261 (1261). We call it Yang Hui triangle. Yang Hui also said in the book that this The figure comes from Jia Xian’s “release lock” calculator. It’s a pity that Jia Xian’s book was lost. In some western mathematics writings, he called it the “Pascal Triangle,” considered by the French mathematician Pascal (Pasc