A326193 - cp's OEIS frontend

A326193 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = gcd(n,sigma(n)) * (-1)^[gcd(n,sigma(n))==n].

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	2
8	2
9	2
10	4
11	2
12	5
13	2
14	4
15	6
16	2
17	2
18	6
19	2
20	4
21	2
22	4
23	2
24	7
25	2
26	4
27	2
28	8
29	2
30	9
31	2
32	2
33	6
34	4
35	2
36	2
37	2
38	4
39	2
40	10
41	2
42	9
43	2
44	5
45	6
46	4
47	2
48	5
49	2
50	2
51	6
52	4
53	2
54	9
55	2
56	11
57	2
58	4
59	2
60	7
61	2
62	4
63	2
64	2
65	2
66	9
67	2
68	4
69	6
70	4
71	2
72	6
73	2
74	4
75	2
76	5
77	2
78	9
79	2
80	4
81	2
82	4
83	2
84	12
85	2
86	4
87	6
88	5
89	2
90	13
91	14
92	5
93	2
94	4
95	15
96	7
97	2
98	2
99	6
100	2
101	2
102	9
103	2
104	4
105	6

[1, 2, 2, 2, 2, 3, 2, 2, 2, 4, 2, 5, 2, 4, 6, 2, 2, 6, 2, 4, 2, 4, 2, 7, 2, 4, 2, 8, 2, 9, 2, 2, 6, 4, 2, 2, 2, 4, 2, 10, 2, 9, 2, 5, 6, 4, 2, 5, 2, 2, 6, 4, 2, 9, 2, 11, 2, 4, 2, 7, 2, 4, 2, 2, 2, 9, 2, 4, 6, 4, 2, 6, 2, 4, 2, 5, 2, 9, 2, 4, 2, 4, 2, 12, 2, 4, 6, 5, 2, 13, 14, 5, 2, 4, 15, 7, 2, 2, 6, 2, 2, 9, 2, 4, 6]

cp's OEIS Frontend

A326193 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = gcd(n,sigma(n)) * (-1)^[gcd(n,sigma(n))==n].

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	2
8	2
9	2
10	4
11	2
12	5
13	2
14	4
15	6
16	2
17	2
18	6
19	2
20	4
21	2
22	4
23	2
24	7
25	2
26	4
27	2
28	8
29	2
30	9
31	2
32	2
33	6
34	4
35	2
36	2
37	2
38	4
39	2
40	10
41	2
42	9
43	2
44	5
45	6
46	4
47	2
48	5
49	2
50	2
51	6
52	4
53	2
54	9
55	2
56	11
57	2
58	4
59	2
60	7
61	2
62	4
63	2
64	2
65	2
66	9
67	2
68	4
69	6
70	4
71	2
72	6
73	2
74	4
75	2
76	5
77	2
78	9
79	2
80	4
81	2
82	4
83	2
84	12
85	2
86	4
87	6
88	5
89	2
90	13
91	14
92	5
93	2
94	4
95	15
96	7
97	2
98	2
99	6
100	2
101	2
102	9
103	2
104	4
105	6

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	2
8	2
9	2
10	4
11	2
12	5
13	2
14	4
15	6
16	2
17	2
18	6
19	2
20	4
21	2
22	4
23	2
24	7
25	2
26	4
27	2
28	8
29	2
30	9
31	2
32	2
33	6
34	4
35	2
36	2
37	2
38	4
39	2
40	10
41	2
42	9
43	2
44	5
45	6
46	4
47	2
48	5
49	2
50	2
51	6
52	4
53	2
54	9
55	2
56	11
57	2
58	4
59	2
60	7
61	2
62	4
63	2
64	2
65	2
66	9
67	2
68	4
69	6
70	4
71	2
72	6
73	2
74	4
75	2
76	5
77	2
78	9
79	2
80	4
81	2
82	4
83	2
84	12
85	2
86	4
87	6
88	5
89	2
90	13
91	14
92	5
93	2
94	4
95	15
96	7
97	2
98	2
99	6
100	2
101	2
102	9
103	2
104	4
105	6

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	2
8	2
9	2
10	4
11	2
12	5
13	2
14	4
15	6
16	2
17	2
18	6
19	2
20	4
21	2
22	4
23	2
24	7
25	2
26	4
27	2
28	8
29	2
30	9
31	2
32	2
33	6
34	4
35	2
36	2
37	2
38	4
39	2
40	10
41	2
42	9
43	2
44	5
45	6
46	4
47	2
48	5
49	2
50	2
51	6
52	4
53	2
54	9
55	2
56	11
57	2
58	4
59	2
60	7
61	2
62	4
63	2
64	2
65	2
66	9
67	2
68	4
69	6
70	4
71	2
72	6
73	2
74	4
75	2
76	5
77	2
78	9
79	2
80	4
81	2
82	4
83	2
84	12
85	2
86	4
87	6
88	5
89	2
90	13
91	14
92	5
93	2
94	4
95	15
96	7
97	2
98	2
99	6
100	2
101	2
102	9
103	2
104	4
105	6