A381597 - cp's OEIS frontend

A381597 Lexicographically earliest sequence of positive integers such that for any t and k, with k>=1, where t = a(n) = a(n+k) = a(n+2*k), only one occurrence of k, for a given t, appears anywhere in the sequence.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	1
9	2
10	2
11	2
12	1
13	1
14	2
15	1
16	1
17	3
18	2
19	3
20	2
21	1
22	3
23	1
24	2
25	3
26	2
27	2
28	1
29	3
30	3
31	2
32	1
33	2
34	3
35	3
36	3
37	1
38	1
39	4
40	1
41	2
42	3
43	4
44	3
45	1
46	3
47	1
48	4
49	4
50	2
51	3
52	2
53	2
54	4
55	3
56	4
57	2
58	4
59	4
60	2
61	1
62	4
63	1
64	3
65	2
66	2
67	4
68	5
69	3
70	1
71	3
72	3
73	1
74	4
75	4
76	2
77	4
78	4
79	3
80	1
81	1
82	2
83	3
84	3
85	2
86	5
87	5
88	3
89	5
90	2
91	1
92	3
93	4
94	5
95	4
96	1
97	5
98	4
99	3
100	1
101	2
102	4
103	1
104	4
105	1
106	5
107	2
108	2
109	3
110	3
111	5
112	5
113	5
114	4
115	5
116	1
117	4
118	3
119	2
120	5

[1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 3, 2, 3, 2, 1, 3, 1, 2, 3, 2, 2, 1, 3, 3, 2, 1, 2, 3, 3, 3, 1, 1, 4, 1, 2, 3, 4, 3, 1, 3, 1, 4, 4, 2, 3, 2, 2, 4, 3, 4, 2, 4, 4, 2, 1, 4, 1, 3, 2, 2, 4, 5, 3, 1, 3, 3, 1, 4, 4, 2, 4, 4, 3, 1, 1, 2, 3, 3, 2, 5, 5, 3, 5, 2, 1, 3, 4, 5, 4, 1, 5, 4, 3, 1, 2, 4, 1, 4, 1, 5, 2, 2, 3, 3, 5, 5, 5, 4, 5, 1, 4, 3, 2, 5]

cp's OEIS Frontend

A381597 Lexicographically earliest sequence of positive integers such that for any t and k, with k>=1, where t = a(n) = a(n+k) = a(n+2*k), only one occurrence of k, for a given t, appears anywhere in the sequence.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	1
9	2
10	2
11	2
12	1
13	1
14	2
15	1
16	1
17	3
18	2
19	3
20	2
21	1
22	3
23	1
24	2
25	3
26	2
27	2
28	1
29	3
30	3
31	2
32	1
33	2
34	3
35	3
36	3
37	1
38	1
39	4
40	1
41	2
42	3
43	4
44	3
45	1
46	3
47	1
48	4
49	4
50	2
51	3
52	2
53	2
54	4
55	3
56	4
57	2
58	4
59	4
60	2
61	1
62	4
63	1
64	3
65	2
66	2
67	4
68	5
69	3
70	1
71	3
72	3
73	1
74	4
75	4
76	2
77	4
78	4
79	3
80	1
81	1
82	2
83	3
84	3
85	2
86	5
87	5
88	3
89	5
90	2
91	1
92	3
93	4
94	5
95	4
96	1
97	5
98	4
99	3
100	1
101	2
102	4
103	1
104	4
105	1
106	5
107	2
108	2
109	3
110	3
111	5
112	5
113	5
114	4
115	5
116	1
117	4
118	3
119	2
120	5

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	1
9	2
10	2
11	2
12	1
13	1
14	2
15	1
16	1
17	3
18	2
19	3
20	2
21	1
22	3
23	1
24	2
25	3
26	2
27	2
28	1
29	3
30	3
31	2
32	1
33	2
34	3
35	3
36	3
37	1
38	1
39	4
40	1
41	2
42	3
43	4
44	3
45	1
46	3
47	1
48	4
49	4
50	2
51	3
52	2
53	2
54	4
55	3
56	4
57	2
58	4
59	4
60	2
61	1
62	4
63	1
64	3
65	2
66	2
67	4
68	5
69	3
70	1
71	3
72	3
73	1
74	4
75	4
76	2
77	4
78	4
79	3
80	1
81	1
82	2
83	3
84	3
85	2
86	5
87	5
88	3
89	5
90	2
91	1
92	3
93	4
94	5
95	4
96	1
97	5
98	4
99	3
100	1
101	2
102	4
103	1
104	4
105	1
106	5
107	2
108	2
109	3
110	3
111	5
112	5
113	5
114	4
115	5
116	1
117	4
118	3
119	2
120	5

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	1
9	2
10	2
11	2
12	1
13	1
14	2
15	1
16	1
17	3
18	2
19	3
20	2
21	1
22	3
23	1
24	2
25	3
26	2
27	2
28	1
29	3
30	3
31	2
32	1
33	2
34	3
35	3
36	3
37	1
38	1
39	4
40	1
41	2
42	3
43	4
44	3
45	1
46	3
47	1
48	4
49	4
50	2
51	3
52	2
53	2
54	4
55	3
56	4
57	2
58	4
59	4
60	2
61	1
62	4
63	1
64	3
65	2
66	2
67	4
68	5
69	3
70	1
71	3
72	3
73	1
74	4
75	4
76	2
77	4
78	4
79	3
80	1
81	1
82	2
83	3
84	3
85	2
86	5
87	5
88	3
89	5
90	2
91	1
92	3
93	4
94	5
95	4
96	1
97	5
98	4
99	3
100	1
101	2
102	4
103	1
104	4
105	1
106	5
107	2
108	2
109	3
110	3
111	5
112	5
113	5
114	4
115	5
116	1
117	4
118	3
119	2
120	5