A339874 - cp's OEIS frontend

A339874 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(n) = A052126(n) for n > 1, and f(1) = 0.

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

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

cp's OEIS Frontend

A339874 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(n) = A052126(n) for n > 1, and f(1) = 0.

Table of values

List of values

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

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

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