A326192 - cp's OEIS frontend

A326192 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => A009195(i) = A009195(j) and f(i) = f(j), where f(n) = gcd(n,sigma(n)) * (-1)^[gcd(n,sigma(n))==n] and A009195(n) = gcd(n, phi(n)).

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

[1, 2, 2, 3, 2, 4, 2, 5, 6, 7, 2, 8, 2, 7, 9, 10, 2, 11, 2, 12, 6, 7, 2, 13, 14, 7, 15, 16, 2, 17, 2, 18, 9, 7, 2, 19, 2, 7, 6, 20, 2, 21, 2, 8, 22, 7, 2, 23, 24, 25, 9, 12, 2, 26, 14, 27, 6, 7, 2, 28, 2, 7, 15, 29, 2, 17, 2, 12, 9, 7, 2, 30, 2, 7, 14, 8, 2, 21, 2, 31, 32, 7, 2, 33, 2, 7, 9, 34, 2, 35, 36, 8, 6, 7, 37, 38, 2, 39, 22, 40, 2, 17, 2, 41, 22]

cp's OEIS Frontend

A326192 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => A009195(i) = A009195(j) and f(i) = f(j), where f(n) = gcd(n,sigma(n)) * (-1)^[gcd(n,sigma(n))==n] and A009195(n) = gcd(n, phi(n)).

Table of values

List of values

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

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

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