k[1] = 202927753036139/250000000000000000
k[2] = 566528253772301/100000000000000000
k[3] = 245914295524883/500000000000000000
k[4] = 114186392006403/10000000000000000
k[5] = 446994772958953/1000000000000000000
k[6] = 343995957326369/100000000000000000
k[7] = 949914492651531/10000000000000000
k[8] = 3304212710223/6250000000000000
k[9] = 152252549827479/100000000000000000
k[10] = 898496674617627/100000000000000
k[11] = 3084375753243/200000000000
k[12] = 606420498690851221153086771456000000000000000000000000/123707881288699188718310260341637672344034641294404521
k[13] = 1
k[14] = 90
k[15] = 127
k[16] = 224
k[17] = 1909
k[18] = 1909
k[19] = 3316
k[20] = 3316