A343333 - cp's OEIS frontend

A343333 a(1) = 0; thereafter a(n+1) = ceiling((a(n)+y)/2), where y is the number of numbers m < n such that a(m) = a(n).

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

[0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 3, 3, 3, 4, 3, 4, 4, 4, 5, 3, 5, 3, 5, 4, 5, 4, 6, 3, 6, 4, 6, 4, 7, 4, 7, 4, 8, 4, 8, 5, 5, 5, 6, 5, 6, 5, 7, 5, 7, 5, 8, 5, 8, 6, 6, 6, 7, 6, 7, 6, 8, 6, 8, 7, 7, 7, 8, 7, 8, 8, 8, 9, 5, 9, 5, 9, 6, 9, 6, 9]

cp's OEIS Frontend

A343333 a(1) = 0; thereafter a(n+1) = ceiling((a(n)+y)/2), where y is the number of numbers m < n such that a(m) = a(n).

Table of values

List of values

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

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

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