OK I plotted the curve: (edit: this is for 4 rounds of darksend)
Here are the numbers of nodes behind the graph - sorry, Excel only renders percentages to 30 decimal places
so I'll do 2 tables, one with percentages and one with numbers.
1.00% 0.000000000000000000000000000000%
2.00% 0.000000000000000000000000000000%
3.00% 0.000000000000000000000000000000%
4.00% 0.000000000000000000000000000000%
5.00% 0.000000000000000000000000000000%
6.00% 0.000000000000000000000000000000%
7.00% 0.000000000000000000000000000000%
8.00% 0.000000000000000000000000000000%
9.00% 0.000000000000000000000000000000%
10.00% 0.000000000000000000000000000000%
11.00% 0.000000000000000000000000000000%
12.00% 0.000000000000000000000000000000%
13.00% 0.000000000000000000000000000000%
14.00% 0.000000000000000000000000000000%
15.00% 0.000000000000000000000000000000%
16.00% 0.000000000000000000000000000000%
17.00% 0.000000000000000000000000000000%
18.00% 0.000000000000000000000000000000%
19.00% 0.000000000000000000000000000000%
20.00% 0.000000000000000000000000000000%
21.00% 0.000000000000000000000000000000%
22.00% 0.000000000000000000000000000000%
23.00% 0.000000000000000000000000000000%
24.00% 0.000000000000000000000000000000%
25.00% 0.000000000000000000000000000000%
26.00% 0.000000000000000000000000000000%
27.00% 0.000000000000000000000000000000%
28.00% 0.000000000000000000000000000000%
29.00% 0.000000000000000000000000000000%
30.00% 0.000000000000000000000000000000%
31.00% 0.000000000000000000000000000000%
32.00% 0.000000000000000000000000000000%
33.00% 0.000000000000000000000000000000%
34.00% 0.000000000000000000000000000000%
35.00% 0.000000000000000000000000000000%
36.00% 0.000000000000000000000000000000%
37.00% 0.000000000000000000000000000000%
38.00% 0.000000000000000000000000000000%
39.00% 0.000000000000000000000000000000%
40.00% 0.000000000000000000000000000001%
41.00% 0.000000000000000000000000000011%
42.00% 0.000000000000000000000000000072%
43.00% 0.000000000000000000000000000476%
44.00% 0.000000000000000000000000002994%
45.00% 0.000000000000000000000000018072%
46.00% 0.000000000000000000000000104864%
47.00% 0.000000000000000000000000585907%
48.00% 0.000000000000000000000003157177%
49.00% 0.000000000000000000000016431848%
50.00% 0.000000000000000000000082718061%
51.00% 0.000000000000000000000403286875%
52.00% 0.000000000000000000001906634691%
53.00% 0.000000000000000000008751239469%
54.00% 0.000000000000000000039039188890%
55.00% 0.000000000000000000169439694425%
56.00% 0.000000000000000000716212935450%
57.00% 0.000000000000000002951130766537%
58.00% 0.000000000000000011864228024849%
59.00% 0.000000000000000046575865222660%
60.00% 0.000000000000000178689910246017%
61.00% 0.000000000000000670481502485578%
62.00% 0.000000000000002462267086575060%
63.00% 0.000000000000008856129455897360%
64.00% 0.000000000000031217485503159900%
65.00% 0.000000000000107911699285832000%
66.00% 0.000000000000366028450492200000%
67.00% 0.000000000001218945296953730000%
68.00% 0.000000000003987613122381620000%
69.00% 0.000000000012821158200314400000%
70.00% 0.000000000040536215597144200000%
71.00% 0.000000000126086299122345000000%
72.00% 0.000000000386011029987512000000%
73.00% 0.000000001163667244198870000000%
74.00% 0.000000003455712297483980000000%
75.00% 0.000000010113490511326700000000%
76.00% 0.000000029180140755877400000000%
77.00% 0.000000083034392727673100000000%
78.00% 0.000000233113924181152000000000%
79.00% 0.000000645903002286135000000000%
80.00% 0.000001766847064778400000000000%
81.00% 0.000004773110738113080000000000%
82.00% 0.000012738203734425700000000000%
83.00% 0.000033592891719906800000000000%
84.00% 0.000087567486675137000000000000%
85.00% 0.000225690904542536000000000000%
86.00% 0.000575275792642648000000000000%
87.00% 0.001450575070699360000000000000%
88.00% 0.003619209906631740000000000000%
89.00% 0.008937180547945420000000000000%
90.00% 0.021847450052839300000000000000%
91.00% 0.052882427867883300000000000000%
92.00% 0.126772830665687000000000000000%
93.00% 0.301048095645893000000000000000%
94.00% 0.708318015672206000000000000000%
95.00% 1.651537438501360000000000000000%
96.00% 3.816793317353630000000000000000%
97.00% 8.744575691882720000000000000000%
98.00% 19.864885008204100000000000000000%
99.00% 44.752321376381000000000000000000%
100.00% 100.000000000000000000000000000000%
1.00% 1E-160
2.00% 1.2089E-136
3.00% 1.4781E-122
4.00% 1.4615E-112
5.00% 8.2718E-105
6.00% 1.7869E-98
7.00% 4.05362E-93
8.00% 1.76685E-88
9.00% 2.18475E-84
10.00% 1E-80
11.00% 2.0484E-77
12.00% 2.16023E-74
13.00% 1.30457E-71
14.00% 4.90053E-69
15.00% 1.22265E-66
16.00% 2.13599E-64
17.00% 2.72844E-62
18.00% 2.64119E-60
19.00% 1.99659E-58
20.00% 1.20893E-56
21.00% 5.99161E-55
22.00% 2.47636E-53
23.00% 8.67415E-52
24.00% 2.61156E-50
25.00% 6.84228E-49
26.00% 1.57713E-47
27.00% 3.22925E-46
28.00% 5.92437E-45
29.00% 9.81386E-44
30.00% 1.47809E-42
31.00% 2.03674E-41
32.00% 2.58225E-40
33.00% 3.02772E-39
34.00% 3.29848E-38
35.00% 3.35308E-37
36.00% 3.19301E-36
37.00% 2.8585E-35
38.00% 2.41372E-34
39.00% 1.92827E-33
40.00% 1.4615E-32
41.00% 1.05368E-31
42.00% 7.24341E-31
43.00% 4.75857E-30
44.00% 2.99374E-29
45.00% 1.80718E-28
46.00% 1.04864E-27
47.00% 5.85907E-27
48.00% 3.15718E-26
49.00% 1.64318E-25
50.00% 8.27181E-25
51.00% 4.03287E-24
52.00% 1.90663E-23
53.00% 8.75124E-23
54.00% 3.90392E-22
55.00% 1.6944E-21
56.00% 7.16213E-21
57.00% 2.95113E-20
58.00% 1.18642E-19
59.00% 4.65759E-19
60.00% 1.7869E-18
61.00% 6.70482E-18
62.00% 2.46227E-17
63.00% 8.85613E-17
64.00% 3.12175E-16
65.00% 1.07912E-15
66.00% 3.66028E-15
67.00% 1.21895E-14
68.00% 3.98761E-14
69.00% 1.28212E-13
70.00% 4.05362E-13
71.00% 1.26086E-12
72.00% 3.86011E-12
73.00% 1.16367E-11
74.00% 3.45571E-11
75.00% 1.01135E-10
76.00% 2.91801E-10
77.00% 8.30344E-10
78.00% 2.33114E-09
79.00% 6.45903E-09
80.00% 1.76685E-08
81.00% 4.77311E-08
82.00% 1.27382E-07
83.00% 3.35929E-07
84.00% 8.75675E-07
85.00% 2.25691E-06
86.00% 5.75276E-06
87.00% 1.45058E-05
88.00% 3.61921E-05
89.00% 8.93718E-05
90.00% 0.000218475
91.00% 0.000528824
92.00% 0.001267728
93.00% 0.003010481
94.00% 0.00708318
95.00% 0.016515374
96.00% 0.038167933
97.00% 0.087445757
98.00% 0.19864885
99.00% 0.447523214
100.00% 1