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