A372704 - cp's OEIS frontend

A372704 a(1)=1; a(2)=2; for n>1, this is the lexicographically earliest sequence such that, following each occurrence of a(n), a(n) is banned for the next k terms, where k is the number of terms prior to a(n) that are not equal to a(n).

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

[1, 2, 1, 2, 1, 3, 2, 1, 4, 5, 6, 2, 1, 3, 7, 8, 9, 4, 10, 5, 2, 1, 6, 11, 12, 13, 3, 14, 15, 7, 16, 8, 17, 9, 4, 18, 19, 2, 1, 5, 10, 20, 21, 22, 6, 23, 24, 11, 25, 12, 26, 3, 13, 27, 28, 14, 29, 15, 7, 30, 31, 16, 8, 32, 33, 17, 9, 4, 34, 35, 2, 1, 18, 19, 36]

cp's OEIS Frontend

A372704 a(1)=1; a(2)=2; for n>1, this is the lexicographically earliest sequence such that, following each occurrence of a(n), a(n) is banned for the next k terms, where k is the number of terms prior to a(n) that are not equal to a(n).

Table of values

List of values

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

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

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