A100002 - cp's OEIS frontend

A100002 Start with a sequence of 1's, then replace every other 1 with a 2; then replace every third of the remaining 1's with a 3 and every third of the remaining 2's with a 3; then replace every fourth remaining 1, 2 or 3 with a 4; and so on. The limiting sequence is shown here.

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

[1, 2, 1, 2, 3, 3, 1, 2, 4, 4, 3, 4, 1, 2, 5, 5, 3, 5, 1, 2, 4, 5, 3, 4, 6, 6, 1, 2, 6, 3, 7, 7, 6, 4, 7, 7, 5, 6, 1, 2, 5, 3, 8, 8, 7, 4, 8, 8, 1, 2, 6, 7, 3, 6, 5, 8, 4, 8, 5, 6, 9, 9, 1, 2, 9, 3, 10, 10, 9, 4, 10, 10, 7, 8, 9, 5, 7, 10, 1, 2, 9, 7, 3, 4, 9, 6, 11, 11, 10, 11]

cp's OEIS Frontend

A100002 Start with a sequence of 1's, then replace every other 1 with a 2; then replace every third of the remaining 1's with a 3 and every third of the remaining 2's with a 3; then replace every fourth remaining 1, 2 or 3 with a 4; and so on. The limiting sequence is shown here.

Table of values

List of values

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

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

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