n = 1 (slider from 1 to 8, step 1)
a_2 = (0.75, 0)
a_3 = (0.44, 0)
a_1 = (2, 0)
a_4 = (0.3125, 0)
a_5 = (0.24, 0)
a_6 = (0.19444444444444445, 0)
a_7 = (0.16326530612244897, 0)
a_8 = (0.140625, 0)