k[1] = 44/5 k[2] = 4/25 k[3] = 1 k[4] = 1/5 k[5] = 7/20 k[6] = 3/2500 k[7] = 2/625 k[8] = 1/10 k[9] = 1000 k[10] = 3 k[11] = 10 k[12] = 93/10 k[13] = 3 k[14] = 729000000000/729000000001 k[15] = 1