A293862 - cp's OEIS frontend

A293862 Sequence of signed integers where each is chosen to be as small as possible (in absolute value) subject to the condition that no three terms a(j), a(j+k), a(j+2k) (for any j and k) form an arithmetic progression; in case of a tie, preference is given to the positive value.

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	1
7	1
8	-1
9	-1
10	0
11	0
12	-1
13	0
14	0
15	1
16	3
17	3
18	-1
19	3
20	3
21	1
22	1
23	2
24	2
25	1
26	-3
27	2
28	0
29	0
30	-2
31	0
32	0
33	1
34	-3
35	-3
36	-2
37	0
38	0
39	4
40	0
41	0
42	1
43	-2
44	-1
45	-1
46	-2
47	5
48	-1
49	3
50	-3
51	2
52	3
53	3
54	2
55	5
56	4
57	4
58	2
59	4
60	2
61	3
62	-1
63	-1
64	3
65	-8
66	-2
67	5
68	2
69	-2
70	-2
71	-8
72	-3
73	-2
74	-8
75	-6
76	-6
77	2
78	5

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

cp's OEIS Frontend

A293862 Sequence of signed integers where each is chosen to be as small as possible (in absolute value) subject to the condition that no three terms a(j), a(j+k), a(j+2k) (for any j and k) form an arithmetic progression; in case of a tie, preference is given to the positive value.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	1
7	1
8	-1
9	-1
10	0
11	0
12	-1
13	0
14	0
15	1
16	3
17	3
18	-1
19	3
20	3
21	1
22	1
23	2
24	2
25	1
26	-3
27	2
28	0
29	0
30	-2
31	0
32	0
33	1
34	-3
35	-3
36	-2
37	0
38	0
39	4
40	0
41	0
42	1
43	-2
44	-1
45	-1
46	-2
47	5
48	-1
49	3
50	-3
51	2
52	3
53	3
54	2
55	5
56	4
57	4
58	2
59	4
60	2
61	3
62	-1
63	-1
64	3
65	-8
66	-2
67	5
68	2
69	-2
70	-2
71	-8
72	-3
73	-2
74	-8
75	-6
76	-6
77	2
78	5

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	1
7	1
8	-1
9	-1
10	0
11	0
12	-1
13	0
14	0
15	1
16	3
17	3
18	-1
19	3
20	3
21	1
22	1
23	2
24	2
25	1
26	-3
27	2
28	0
29	0
30	-2
31	0
32	0
33	1
34	-3
35	-3
36	-2
37	0
38	0
39	4
40	0
41	0
42	1
43	-2
44	-1
45	-1
46	-2
47	5
48	-1
49	3
50	-3
51	2
52	3
53	3
54	2
55	5
56	4
57	4
58	2
59	4
60	2
61	3
62	-1
63	-1
64	3
65	-8
66	-2
67	5
68	2
69	-2
70	-2
71	-8
72	-3
73	-2
74	-8
75	-6
76	-6
77	2
78	5

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	1
7	1
8	-1
9	-1
10	0
11	0
12	-1
13	0
14	0
15	1
16	3
17	3
18	-1
19	3
20	3
21	1
22	1
23	2
24	2
25	1
26	-3
27	2
28	0
29	0
30	-2
31	0
32	0
33	1
34	-3
35	-3
36	-2
37	0
38	0
39	4
40	0
41	0
42	1
43	-2
44	-1
45	-1
46	-2
47	5
48	-1
49	3
50	-3
51	2
52	3
53	3
54	2
55	5
56	4
57	4
58	2
59	4
60	2
61	3
62	-1
63	-1
64	3
65	-8
66	-2
67	5
68	2
69	-2
70	-2
71	-8
72	-3
73	-2
74	-8
75	-6
76	-6
77	2
78	5