A293208 - cp's OEIS frontend

A293208 Let b be the lexicographically earliest sequence of positive terms such that the function f defined by f(n) = Sum_{k=1..n} (i^k * b(k)) for any n >= 0 is injective (where i denotes the imaginary unit), and b(n) != b(n+1) and b() != b(n+2) for any n > 0; a(n) = real part of f(n).

n	a(n)
0	0
1	0
2	-2
3	-2
4	-1
5	-1
6	-4
7	-4
8	-2
9	-2
10	-3
11	-3
12	1
13	1
14	-1
15	-1
16	0
17	0
18	-3
19	-3
20	1
21	1
22	0
23	0
24	2
25	2
26	-2
27	-2
28	-1
29	-1
30	-6
31	-6
32	-4
33	-4
34	-5
35	-5
36	1
37	1
38	0
39	0
40	2
41	2
42	-7
43	-7
44	-6
45	-6
46	-8
47	-8
48	3
49	3
50	2
51	2
52	4
53	4
54	1
55	1
56	2
57	2
58	-2
59	-2
60	-1
61	-1
62	-3
63	-3
64	0
65	0
66	-1
67	-1
68	2
69	2
70	-2
71	-2
72	3
73	3

[0, 0, -2, -2, -1, -1, -4, -4, -2, -2, -3, -3, 1, 1, -1, -1, 0, 0, -3, -3, 1, 1, 0, 0, 2, 2, -2, -2, -1, -1, -6, -6, -4, -4, -5, -5, 1, 1, 0, 0, 2, 2, -7, -7, -6, -6, -8, -8, 3, 3, 2, 2, 4, 4, 1, 1, 2, 2, -2, -2, -1, -1, -3, -3, 0, 0, -1, -1, 2, 2, -2, -2, 3, 3]

cp's OEIS Frontend

A293208 Let b be the lexicographically earliest sequence of positive terms such that the function f defined by f(n) = Sum_{k=1..n} (i^k * b(k)) for any n >= 0 is injective (where i denotes the imaginary unit), and b(n) != b(n+1) and b() != b(n+2) for any n > 0; a(n) = real part of f(n).

Table of values

List of values

n	a(n)
0	0
1	0
2	-2
3	-2
4	-1
5	-1
6	-4
7	-4
8	-2
9	-2
10	-3
11	-3
12	1
13	1
14	-1
15	-1
16	0
17	0
18	-3
19	-3
20	1
21	1
22	0
23	0
24	2
25	2
26	-2
27	-2
28	-1
29	-1
30	-6
31	-6
32	-4
33	-4
34	-5
35	-5
36	1
37	1
38	0
39	0
40	2
41	2
42	-7
43	-7
44	-6
45	-6
46	-8
47	-8
48	3
49	3
50	2
51	2
52	4
53	4
54	1
55	1
56	2
57	2
58	-2
59	-2
60	-1
61	-1
62	-3
63	-3
64	0
65	0
66	-1
67	-1
68	2
69	2
70	-2
71	-2
72	3
73	3

n	a(n)
0	0
1	0
2	-2
3	-2
4	-1
5	-1
6	-4
7	-4
8	-2
9	-2
10	-3
11	-3
12	1
13	1
14	-1
15	-1
16	0
17	0
18	-3
19	-3
20	1
21	1
22	0
23	0
24	2
25	2
26	-2
27	-2
28	-1
29	-1
30	-6
31	-6
32	-4
33	-4
34	-5
35	-5
36	1
37	1
38	0
39	0
40	2
41	2
42	-7
43	-7
44	-6
45	-6
46	-8
47	-8
48	3
49	3
50	2
51	2
52	4
53	4
54	1
55	1
56	2
57	2
58	-2
59	-2
60	-1
61	-1
62	-3
63	-3
64	0
65	0
66	-1
67	-1
68	2
69	2
70	-2
71	-2
72	3
73	3

n	a(n)
0	0
1	0
2	-2
3	-2
4	-1
5	-1
6	-4
7	-4
8	-2
9	-2
10	-3
11	-3
12	1
13	1
14	-1
15	-1
16	0
17	0
18	-3
19	-3
20	1
21	1
22	0
23	0
24	2
25	2
26	-2
27	-2
28	-1
29	-1
30	-6
31	-6
32	-4
33	-4
34	-5
35	-5
36	1
37	1
38	0
39	0
40	2
41	2
42	-7
43	-7
44	-6
45	-6
46	-8
47	-8
48	3
49	3
50	2
51	2
52	4
53	4
54	1
55	1
56	2
57	2
58	-2
59	-2
60	-1
61	-1
62	-3
63	-3
64	0
65	0
66	-1
67	-1
68	2
69	2
70	-2
71	-2
72	3
73	3