A347301 - cp's OEIS frontend

A347301 Let S be a set of n distinct integers in the range -n-3 to n+3, and consider the sums s+t of pairs of distinct elements of S; a(n) is the maximum number of such sums that are powers of 2, over all choices for S.

n	a(n)
1	0
2	1
3	3
4	4
5	5
6	7
7	9
8	11
9	13
10	15
11	17
12	19
13	21
14	24
15	26
16	29
17	31
18	34
19	36
20	39
21	41
22	44
23	46
24	49
25	51
26	54
27	56
28	59
29	61
30	65
31	67
32	71
33	73
34	77
35	79
36	83
37	85
38	89
39	91
40	95
41	97
42	101
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	125
51	127
52	131
53	133
54	137
55	139
56	143
57	146
58	149
59	152
60	155
61	159
62	162
63	166
64	169
65	173
66	176

[0, 1, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 44, 46, 49, 51, 54, 56, 59, 61, 65, 67, 71, 73, 77, 79, 83, 85, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 121, 125, 127, 131, 133, 137, 139, 143, 146, 149, 152, 155, 159, 162, 166, 169, 173, 176]

cp's OEIS Frontend

A347301 Let S be a set of n distinct integers in the range -n-3 to n+3, and consider the sums s+t of pairs of distinct elements of S; a(n) is the maximum number of such sums that are powers of 2, over all choices for S.

Table of values

List of values

n	a(n)
1	0
2	1
3	3
4	4
5	5
6	7
7	9
8	11
9	13
10	15
11	17
12	19
13	21
14	24
15	26
16	29
17	31
18	34
19	36
20	39
21	41
22	44
23	46
24	49
25	51
26	54
27	56
28	59
29	61
30	65
31	67
32	71
33	73
34	77
35	79
36	83
37	85
38	89
39	91
40	95
41	97
42	101
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	125
51	127
52	131
53	133
54	137
55	139
56	143
57	146
58	149
59	152
60	155
61	159
62	162
63	166
64	169
65	173
66	176

n	a(n)
1	0
2	1
3	3
4	4
5	5
6	7
7	9
8	11
9	13
10	15
11	17
12	19
13	21
14	24
15	26
16	29
17	31
18	34
19	36
20	39
21	41
22	44
23	46
24	49
25	51
26	54
27	56
28	59
29	61
30	65
31	67
32	71
33	73
34	77
35	79
36	83
37	85
38	89
39	91
40	95
41	97
42	101
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	125
51	127
52	131
53	133
54	137
55	139
56	143
57	146
58	149
59	152
60	155
61	159
62	162
63	166
64	169
65	173
66	176

n	a(n)
1	0
2	1
3	3
4	4
5	5
6	7
7	9
8	11
9	13
10	15
11	17
12	19
13	21
14	24
15	26
16	29
17	31
18	34
19	36
20	39
21	41
22	44
23	46
24	49
25	51
26	54
27	56
28	59
29	61
30	65
31	67
32	71
33	73
34	77
35	79
36	83
37	85
38	89
39	91
40	95
41	97
42	101
43	103
44	107
45	109
46	113
47	115
48	119
49	121
50	125
51	127
52	131
53	133
54	137
55	139
56	143
57	146
58	149
59	152
60	155
61	159
62	162
63	166
64	169
65	173
66	176