A181566 - cp's OEIS frontend

A181566 Minimum number of random elements such that their orders allow identification of an abelian group of order n (sampled uniformly) with probability greater than 1/2.

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	0
7	0
8	4
9	3
10	0
11	0
12	3
13	0
14	0
15	0
16	8
17	0
18	3
19	0
20	4
21	0
22	0
23	0
24	7
25	5
26	0
27	8
28	5
29	0
30	0
31	0
32	16
33	0
34	0
35	0
36	9
37	0
38	0
39	0
40	12
41	0
42	0
43	0
44	5
45	4
46	0
47	0
48	19
49	7
50	5
51	0
52	6
53	0
54	12
55	0
56	16
57	0
58	0
59	0
60	6
61	0
62	0
63	5
64	37
65	0
66	0
67	0
68	6
69	0
70	0
71	0
72	20
73	0
74	0
75	5
76	6
77	0
78	0
79	0
80	32
81	27
82	0
83	0
84	6
85	0
86	0
87	0
88	26
89	0
90	5
91	0
92	7
93	0
94	0
95	0

[0, 0, 0, 2, 0, 0, 0, 4, 3, 0, 0, 3, 0, 0, 0, 8, 0, 3, 0, 4, 0, 0, 0, 7, 5, 0, 8, 5, 0, 0, 0, 16, 0, 0, 0, 9, 0, 0, 0, 12, 0, 0, 0, 5, 4, 0, 0, 19, 7, 5, 0, 6, 0, 12, 0, 16, 0, 0, 0, 6, 0, 0, 5, 37, 0, 0, 0, 6, 0, 0, 0, 20, 0, 0, 5, 6, 0, 0, 0, 32, 27, 0, 0, 6, 0, 0, 0, 26, 0, 5, 0, 7, 0, 0, 0]

cp's OEIS Frontend

A181566 Minimum number of random elements such that their orders allow identification of an abelian group of order n (sampled uniformly) with probability greater than 1/2.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	0
7	0
8	4
9	3
10	0
11	0
12	3
13	0
14	0
15	0
16	8
17	0
18	3
19	0
20	4
21	0
22	0
23	0
24	7
25	5
26	0
27	8
28	5
29	0
30	0
31	0
32	16
33	0
34	0
35	0
36	9
37	0
38	0
39	0
40	12
41	0
42	0
43	0
44	5
45	4
46	0
47	0
48	19
49	7
50	5
51	0
52	6
53	0
54	12
55	0
56	16
57	0
58	0
59	0
60	6
61	0
62	0
63	5
64	37
65	0
66	0
67	0
68	6
69	0
70	0
71	0
72	20
73	0
74	0
75	5
76	6
77	0
78	0
79	0
80	32
81	27
82	0
83	0
84	6
85	0
86	0
87	0
88	26
89	0
90	5
91	0
92	7
93	0
94	0
95	0

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	0
7	0
8	4
9	3
10	0
11	0
12	3
13	0
14	0
15	0
16	8
17	0
18	3
19	0
20	4
21	0
22	0
23	0
24	7
25	5
26	0
27	8
28	5
29	0
30	0
31	0
32	16
33	0
34	0
35	0
36	9
37	0
38	0
39	0
40	12
41	0
42	0
43	0
44	5
45	4
46	0
47	0
48	19
49	7
50	5
51	0
52	6
53	0
54	12
55	0
56	16
57	0
58	0
59	0
60	6
61	0
62	0
63	5
64	37
65	0
66	0
67	0
68	6
69	0
70	0
71	0
72	20
73	0
74	0
75	5
76	6
77	0
78	0
79	0
80	32
81	27
82	0
83	0
84	6
85	0
86	0
87	0
88	26
89	0
90	5
91	0
92	7
93	0
94	0
95	0

n	a(n)
1	0
2	0
3	0
4	2
5	0
6	0
7	0
8	4
9	3
10	0
11	0
12	3
13	0
14	0
15	0
16	8
17	0
18	3
19	0
20	4
21	0
22	0
23	0
24	7
25	5
26	0
27	8
28	5
29	0
30	0
31	0
32	16
33	0
34	0
35	0
36	9
37	0
38	0
39	0
40	12
41	0
42	0
43	0
44	5
45	4
46	0
47	0
48	19
49	7
50	5
51	0
52	6
53	0
54	12
55	0
56	16
57	0
58	0
59	0
60	6
61	0
62	0
63	5
64	37
65	0
66	0
67	0
68	6
69	0
70	0
71	0
72	20
73	0
74	0
75	5
76	6
77	0
78	0
79	0
80	32
81	27
82	0
83	0
84	6
85	0
86	0
87	0
88	26
89	0
90	5
91	0
92	7
93	0
94	0
95	0