A328576 - cp's OEIS frontend

A328576 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(0) = 0 and for n > 0, f(n) = [A276088(n), A328575(n)], for all i, j.

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	4
6	2
7	2
8	2
9	2
10	3
11	4
12	3
13	5
14	5
15	5
16	6
17	7
18	8
19	9
20	9
21	9
22	10
23	11
24	12
25	13
26	13
27	13
28	14
29	15
30	2
31	2
32	2
33	2
34	3
35	4
36	2
37	2
38	2
39	2
40	3
41	4
42	3
43	5
44	5
45	5
46	6
47	7
48	8
49	9
50	9
51	9
52	10
53	11
54	12
55	13
56	13
57	13
58	14
59	15
60	3
61	16
62	16
63	16
64	17
65	18
66	16
67	16
68	16
69	16
70	17
71	18
72	17
73	19
74	19
75	19
76	20
77	21
78	22
79	23
80	23
81	23
82	24
83	25
84	26
85	27
86	27
87	27
88	28
89	29
90	30
91	31
92	31
93	31
94	32
95	33
96	31
97	31
98	31
99	31
100	32
101	33

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

cp's OEIS Frontend

A328576 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(0) = 0 and for n > 0, f(n) = [A276088(n), A328575(n)], for all i, j.

Table of values

List of values

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	4
6	2
7	2
8	2
9	2
10	3
11	4
12	3
13	5
14	5
15	5
16	6
17	7
18	8
19	9
20	9
21	9
22	10
23	11
24	12
25	13
26	13
27	13
28	14
29	15
30	2
31	2
32	2
33	2
34	3
35	4
36	2
37	2
38	2
39	2
40	3
41	4
42	3
43	5
44	5
45	5
46	6
47	7
48	8
49	9
50	9
51	9
52	10
53	11
54	12
55	13
56	13
57	13
58	14
59	15
60	3
61	16
62	16
63	16
64	17
65	18
66	16
67	16
68	16
69	16
70	17
71	18
72	17
73	19
74	19
75	19
76	20
77	21
78	22
79	23
80	23
81	23
82	24
83	25
84	26
85	27
86	27
87	27
88	28
89	29
90	30
91	31
92	31
93	31
94	32
95	33
96	31
97	31
98	31
99	31
100	32
101	33

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	4
6	2
7	2
8	2
9	2
10	3
11	4
12	3
13	5
14	5
15	5
16	6
17	7
18	8
19	9
20	9
21	9
22	10
23	11
24	12
25	13
26	13
27	13
28	14
29	15
30	2
31	2
32	2
33	2
34	3
35	4
36	2
37	2
38	2
39	2
40	3
41	4
42	3
43	5
44	5
45	5
46	6
47	7
48	8
49	9
50	9
51	9
52	10
53	11
54	12
55	13
56	13
57	13
58	14
59	15
60	3
61	16
62	16
63	16
64	17
65	18
66	16
67	16
68	16
69	16
70	17
71	18
72	17
73	19
74	19
75	19
76	20
77	21
78	22
79	23
80	23
81	23
82	24
83	25
84	26
85	27
86	27
87	27
88	28
89	29
90	30
91	31
92	31
93	31
94	32
95	33
96	31
97	31
98	31
99	31
100	32
101	33

n	a(n)
0	1
1	2
2	2
3	2
4	3
5	4
6	2
7	2
8	2
9	2
10	3
11	4
12	3
13	5
14	5
15	5
16	6
17	7
18	8
19	9
20	9
21	9
22	10
23	11
24	12
25	13
26	13
27	13
28	14
29	15
30	2
31	2
32	2
33	2
34	3
35	4
36	2
37	2
38	2
39	2
40	3
41	4
42	3
43	5
44	5
45	5
46	6
47	7
48	8
49	9
50	9
51	9
52	10
53	11
54	12
55	13
56	13
57	13
58	14
59	15
60	3
61	16
62	16
63	16
64	17
65	18
66	16
67	16
68	16
69	16
70	17
71	18
72	17
73	19
74	19
75	19
76	20
77	21
78	22
79	23
80	23
81	23
82	24
83	25
84	26
85	27
86	27
87	27
88	28
89	29
90	30
91	31
92	31
93	31
94	32
95	33
96	31
97	31
98	31
99	31
100	32
101	33