楊輝三角最本質的特征:它的兩條斜邊都是由數字1組成的,而其餘的數則是等于它肩上的兩個數之和。即如下圖所示:
![](https://img.laitimes.com/img/9ZDMuAjOiMmIsIjOiQnIsICM38FdsYkRGZkRG9lcvx2bjxiNx8VZ6l2cs0TPR5UMRRUT1kEVOBDOsJGcohVYsR2MMBjVtJWd0ckW65UbM5WOHJWa5kHT20ESjBjUIF2X0hXZ0xCMx81dvRWYoNHLrdEZwZ1Rh5WNXp1bwNjW1ZUba9VZwlHdssmch1mclRXY39CXldWYtlWPzNXZj9mcw1ycz9WL49zZwpmL2QTN4EDOxcTMzEDOwkTMwIzLc52YucWbp5GZzNmLn9Gbi1yZtl2Lc9CX6MHc0RHaiojIsJye.jpg)
python代碼實作:
a = []
for i in range(8):
a.append([])
for j in range(8):
a[i].append(0)
for i in range(8):
a[i][0] = 1
a[i][i] = 1
for i in range(2,8):
for j in range(1,i):
a[i][j] = a[i-1][j-1]+a[i-1][j]
for i in range(8):
for j in range(i+1):
print("{:3d}".format(a[i][j]),end=" ")
print()
------------------------------------------------------
#運作結果
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