A330780 - cp's OEIS frontend

A330780 Lexicographically earliest sequence of positive integers such that for any v > 0, the value v appears up to v^2 times, and the associate function f defined by f(n) = Sum_{k = 1..n} a(k) * m(k) for n >= 0 is injective (where {m(k)} corresponds to knight's moves, see Comments for precise definition).

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	3
8	3
9	3
10	3
11	3
12	3
13	4
14	3
15	3
16	4
17	4
18	4
19	4
20	4
21	4
22	4
23	5
24	4
25	4
26	4
27	4
28	4
29	4
30	5
31	4
32	4
33	5
34	5
35	5
36	5
37	5
38	5
39	5
40	6
41	5
42	5
43	5
44	5
45	6
46	5
47	5
48	5
49	5
50	5
51	5
52	6
53	5
54	5
55	5
56	5
57	5
58	6
59	5
60	6
61	6
62	6
63	6
64	6
65	6
66	6
67	7
68	6
69	6
70	6
71	6
72	6
73	8
74	6
75	6
76	6
77	6
78	6
79	6
80	8
81	6
82	6
83	6
84	6
85	6
86	6
87	7

[1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 7]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	3
8	3
9	3
10	3
11	3
12	3
13	4
14	3
15	3
16	4
17	4
18	4
19	4
20	4
21	4
22	4
23	5
24	4
25	4
26	4
27	4
28	4
29	4
30	5
31	4
32	4
33	5
34	5
35	5
36	5
37	5
38	5
39	5
40	6
41	5
42	5
43	5
44	5
45	6
46	5
47	5
48	5
49	5
50	5
51	5
52	6
53	5
54	5
55	5
56	5
57	5
58	6
59	5
60	6
61	6
62	6
63	6
64	6
65	6
66	6
67	7
68	6
69	6
70	6
71	6
72	6
73	8
74	6
75	6
76	6
77	6
78	6
79	6
80	8
81	6
82	6
83	6
84	6
85	6
86	6
87	7

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	3
8	3
9	3
10	3
11	3
12	3
13	4
14	3
15	3
16	4
17	4
18	4
19	4
20	4
21	4
22	4
23	5
24	4
25	4
26	4
27	4
28	4
29	4
30	5
31	4
32	4
33	5
34	5
35	5
36	5
37	5
38	5
39	5
40	6
41	5
42	5
43	5
44	5
45	6
46	5
47	5
48	5
49	5
50	5
51	5
52	6
53	5
54	5
55	5
56	5
57	5
58	6
59	5
60	6
61	6
62	6
63	6
64	6
65	6
66	6
67	7
68	6
69	6
70	6
71	6
72	6
73	8
74	6
75	6
76	6
77	6
78	6
79	6
80	8
81	6
82	6
83	6
84	6
85	6
86	6
87	7

n	a(n)
1	1
2	2
3	2
4	2
5	2
6	3
7	3
8	3
9	3
10	3
11	3
12	3
13	4
14	3
15	3
16	4
17	4
18	4
19	4
20	4
21	4
22	4
23	5
24	4
25	4
26	4
27	4
28	4
29	4
30	5
31	4
32	4
33	5
34	5
35	5
36	5
37	5
38	5
39	5
40	6
41	5
42	5
43	5
44	5
45	6
46	5
47	5
48	5
49	5
50	5
51	5
52	6
53	5
54	5
55	5
56	5
57	5
58	6
59	5
60	6
61	6
62	6
63	6
64	6
65	6
66	6
67	7
68	6
69	6
70	6
71	6
72	6
73	8
74	6
75	6
76	6
77	6
78	6
79	6
80	8
81	6
82	6
83	6
84	6
85	6
86	6
87	7