A291712 - cp's OEIS frontend

A291712 Lexicographically earliest sequence of positive terms such that, for any m and n > 0, if m < n then a(m) != a(n) or a(m+1) != a(n+1), and if n = least k > m such that a(k) = a(m) then m and n have a different parity.

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

[1, 1, 2, 2, 1, 3, 2, 4, 3, 1, 4, 2, 5, 3, 3, 4, 1, 5, 2, 3, 5, 1, 6, 2, 7, 5, 4, 4, 5, 5, 8, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11, 6, 3, 7, 1, 8, 2, 9, 5, 10, 4, 11, 7, 3, 6, 4, 8, 1, 9, 2, 10, 6, 6, 5, 12, 6, 11, 8, 4, 7, 6, 9, 1, 10, 2, 6, 7, 4, 6, 12, 3, 11, 4]

cp's OEIS Frontend

A291712 Lexicographically earliest sequence of positive terms such that, for any m and n > 0, if m < n then a(m) != a(n) or a(m+1) != a(n+1), and if n = least k > m such that a(k) = a(m) then m and n have a different parity.

Table of values

List of values

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

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

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