A330779 - cp's OEIS frontend

A330779 Lexicographically earliest sequence of positive integers such that for any v > 0, the value v appears up to v times, and the associate function f defined by f(n) = Sum_{k = 1..n} a(k) * i^k for n >= 0 is injective (where i denotes the imaginary unit).

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

[1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 4, 6, 5, 5, 6, 5, 5, 7, 6, 6, 7, 6, 6, 8, 7, 7, 7, 8, 7, 7, 8, 8, 8, 10, 9, 8, 8, 9, 8, 10, 10, 9, 11, 9, 9, 11, 9, 9, 10, 9, 9, 12, 10, 11, 11, 11, 12, 10, 13, 10, 10, 13, 10, 10, 12, 11, 11, 12, 11, 11, 11, 14, 11, 13, 12, 13]

cp's OEIS Frontend

A330779 Lexicographically earliest sequence of positive integers such that for any v > 0, the value v appears up to v times, and the associate function f defined by f(n) = Sum_{k = 1..n} a(k) * i^k for n >= 0 is injective (where i denotes the imaginary unit).

Table of values

List of values

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

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

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