A293207 - cp's OEIS frontend

A293207 Lexicographically earliest sequence of positive terms such that the function f defined by f(n) = Sum_{k=1..n} (i^k * a(k)) for any n >= 0 is injective (where i denotes the imaginary unit), and a(n) != a(n+1) and a(n) != a(n+2) for any n > 0.

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

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

cp's OEIS Frontend

A293207 Lexicographically earliest sequence of positive terms such that the function f defined by f(n) = Sum_{k=1..n} (i^k * a(k)) for any n >= 0 is injective (where i denotes the imaginary unit), and a(n) != a(n+1) and a(n) != a(n+2) for any n > 0.

Table of values

List of values

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

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

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