A366297 - cp's OEIS frontend

A366297 Lexicographically earliest infinite sequence such that a(i) = a(j) => A359589(i) = A359589(j) for all i, j >= 1, where A359589 is Dirichlet inverse of function f(n) = (-1 + gcd(A003415(n), A276086(n))).

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

[1, 2, 2, 2, 2, 3, 2, 4, 5, 2, 2, 2, 2, 4, 6, 2, 2, 2, 2, 4, 7, 2, 2, 2, 7, 8, 4, 2, 2, 2, 2, 2, 9, 2, 5, 10, 2, 11, 6, 2, 2, 2, 2, 4, 4, 12, 2, 13, 9, 8, 7, 14, 2, 15, 6, 2, 6, 2, 2, 2, 2, 4, 4, 16, 17, 2, 2, 4, 6, 2, 2, 18, 2, 4, 3, 3, 17, 2, 2, 2, 18, 2, 2, 19, 6, 8, 6, 20, 2, 21, 6, 4, 6, 22, 5, 2, 2, 14, 8, 20, 2, 14, 2, 2, 2]

cp's OEIS Frontend

A366297 Lexicographically earliest infinite sequence such that a(i) = a(j) => A359589(i) = A359589(j) for all i, j >= 1, where A359589 is Dirichlet inverse of function f(n) = (-1 + gcd(A003415(n), A276086(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	4
9	5
10	2
11	2
12	2
13	2
14	4
15	6
16	2
17	2
18	2
19	2
20	4
21	7
22	2
23	2
24	2
25	7
26	8
27	4
28	2
29	2
30	2
31	2
32	2
33	9
34	2
35	5
36	10
37	2
38	11
39	6
40	2
41	2
42	2
43	2
44	4
45	4
46	12
47	2
48	13
49	9
50	8
51	7
52	14
53	2
54	15
55	6
56	2
57	6
58	2
59	2
60	2
61	2
62	4
63	4
64	16
65	17
66	2
67	2
68	4
69	6
70	2
71	2
72	18
73	2
74	4
75	3
76	3
77	17
78	2
79	2
80	2
81	18
82	2
83	2
84	19
85	6
86	8
87	6
88	20
89	2
90	21
91	6
92	4
93	6
94	22
95	5
96	2
97	2
98	14
99	8
100	20
101	2
102	14
103	2
104	2
105	2

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

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