I was extremely bored last night, so I ran every link of a 1-40 chain through the calculations.

Each denominator is rounded up to the nearest whole number, so these aren't EXACT, but are close.

1. ~1/7130
2. ~1/6971
3. ~1/6811
4. ~1/6650
5. ~1/6488
6. ~1/6325
7. ~1/6161
8. ~1/5997
9. ~1/5831
10. ~1/5665
11. ~1/5497
12. ~1/5329
13. ~1/5160
14. ~1/4989
15. ~1/4818
16. ~1/4646
17. ~1/4472
18. ~1/4299
19. ~1/4124
20. ~1/3948
21. ~1/3770
22. ~1/3592
23. ~1/3413
24. ~1/3233
25. ~1/3052
26. ~1/2869
27. ~1/2686
28. ~1/2501
29. ~1/2316
30. ~1/2129
31. ~1/1941
32. ~1/1752
33. ~1/1562
34. ~1/1371
35. ~1/1179
36. ~1/985
37. ~1/791
38. ~1/595
39. ~1/398
40+. ~1/200