-- ------ ---------- ------------------
1 1 1 1.0000000000000...
2 4 3 0.7500000000000...
3 7 3 0.4285714285714...
4 9 3 0.3333333333333...
5 27 7 0.2592592592592...
6 36 9 0.2500000000000...
7 63 9 0.1428571428571...
8 117 15 0.1282051282051...
9 171 21 0.1228070175438...
10 189 21 0.1111111111111...
11 252 27 0.1071428571428...
12 351 35 0.0997150997150...
13 468 45 0.0961538461538...
14 504 45 0.0892857142857...
15 756 63 0.0833333333333...
16 819 45 0.0549450549450...
17 1197 63 0.0526315789473...
18 1953 99 0.0506912442396...
19 2223 105 0.0472334682860...
20 2457 105 0.0427350427350...
21 3276 135 0.0412087912087...
22 3591 147 0.0409356725146...
23 4788 189 0.0394736842105...
24 5733 225 0.0392464678178...
25 6552 225 0.0343406593406...
26 9576 315 0.0328947368421...
27 9828 315 0.0320512820512...
28 14364 441 0.0307017543859...
29 15561 315 0.0202429149797...
30 25389 495 0.0194966323998...
31 30303 585 0.0193050193050...
32 35217 675 0.0191668796319...
33 37107 693 0.0186757215619...
34 44289 819 0.0184921763869...
35 46683 735 0.0157444894286...
36 62244 945 0.0151821862348...
37 76167 1155 0.0151640474221...
38 90909 1365 0.0150150150150...
39 101556 1485 0.0146224742998...
40 108927 1575 0.0144592249855...
41 124488 1575 0.0126518218623...
42 186732 2205 0.0118083670715...
43 296856 3465 0.0116723259762...
44 304668 3465 0.0113730355665...
