A341355 - cp's OEIS frontend

A341355 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(1) = 1 and for n > 1, f(n) = [A341353(n), A341353(2*n)].

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

[1, 2, 3, 4, 5, 3, 3, 2, 4, 6, 2, 3, 3, 3, 2, 4, 2, 7, 3, 2, 6, 4, 7, 3, 4, 3, 3, 3, 3, 4, 2, 5, 2, 4, 3, 8, 3, 3, 4, 4, 2, 2, 3, 7, 5, 8, 5, 3, 4, 2, 5, 3, 3, 3, 6, 3, 4, 3, 2, 2, 3, 4, 3, 6, 3, 4, 2, 2, 2, 3, 3, 2, 5, 3, 3, 3, 9, 2, 3, 2, 4, 4, 2, 4, 4, 3, 8, 8, 3, 6, 6, 2, 2, 6, 3, 3, 2, 5, 2, 4, 3, 6, 9, 3, 4]

cp's OEIS Frontend

A341355 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(1) = 1 and for n > 1, f(n) = [A341353(n), A341353(2*n)].

Table of values

List of values

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

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

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