k[1] = 1/10
k[2] = 420467092599869/1000000000000000
k[3] = 55069267386123/50000000000000
k[4] = 1495588966300553/20000000000000
k[5] = 120
k[6] = 36779737044933/20000000000000
k[7] = 389066458140967532339483328595180417255401/320000000000000000000000000000000000000000
k[8] = 9018759018759/62500000000000
k[9] = 53481240981241/62500000000000
k[10] = 147002558002553/25000000000000
k[11] = 121454266376232554106270728286370779423/2000000000000000000000000000000000000
k[12] = 172622515189057/1000000000000000
k[13] = 827377484810943/1000000000000000
k[14] = 1