k[1] = 1 k[2] = 1/100 k[3] = 509/100000 k[4] = 47/100000 k[5] = 11/10000 k[6] = 89/12500 k[7] = 439/100000 k[8] = 9/50000 k[9] = 5567/50000 k[10] = 14359/100000 k[11] = 3/20000 k[12] = 6257/50000 k[13] = 15