A296099 - cp's OEIS frontend

A296099 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, SumXOR_{k=1..n} a(k) is divisible by n, where SumXOR is the analog of summation under the binary XOR operation.

n	a(n)
1	1
2	3
3	2
4	4
5	11
6	9
7	6
8	8
9	19
10	5
11	21
12	7
13	12
14	14
15	16
16	30
17	17
18	39
19	15
20	45
21	20
22	22
23	56
24	46
25	25
26	87
27	31
28	33
29	74
30	36
31	32
32	62
33	66
34	96
35	34
36	72
37	109
38	37
39	78
40	54
41	42
42	44
43	40
44	86
45	90
46	116
47	112
48	94
49	49
50	85
51	100
52	52
53	171
54	61
55	126
56	60
57	75
58	67
59	89
60	65
61	71
62	13
63	70
64	124
65	128

[1, 3, 2, 4, 11, 9, 6, 8, 19, 5, 21, 7, 12, 14, 16, 30, 17, 39, 15, 45, 20, 22, 56, 46, 25, 87, 31, 33, 74, 36, 32, 62, 66, 96, 34, 72, 109, 37, 78, 54, 42, 44, 40, 86, 90, 116, 112, 94, 49, 85, 100, 52, 171, 61, 126, 60, 75, 67, 89, 65, 71, 13, 70, 124, 128]

cp's OEIS Frontend

A296099 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, SumXOR_{k=1..n} a(k) is divisible by n, where SumXOR is the analog of summation under the binary XOR operation.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	4
5	11
6	9
7	6
8	8
9	19
10	5
11	21
12	7
13	12
14	14
15	16
16	30
17	17
18	39
19	15
20	45
21	20
22	22
23	56
24	46
25	25
26	87
27	31
28	33
29	74
30	36
31	32
32	62
33	66
34	96
35	34
36	72
37	109
38	37
39	78
40	54
41	42
42	44
43	40
44	86
45	90
46	116
47	112
48	94
49	49
50	85
51	100
52	52
53	171
54	61
55	126
56	60
57	75
58	67
59	89
60	65
61	71
62	13
63	70
64	124
65	128

n	a(n)
1	1
2	3
3	2
4	4
5	11
6	9
7	6
8	8
9	19
10	5
11	21
12	7
13	12
14	14
15	16
16	30
17	17
18	39
19	15
20	45
21	20
22	22
23	56
24	46
25	25
26	87
27	31
28	33
29	74
30	36
31	32
32	62
33	66
34	96
35	34
36	72
37	109
38	37
39	78
40	54
41	42
42	44
43	40
44	86
45	90
46	116
47	112
48	94
49	49
50	85
51	100
52	52
53	171
54	61
55	126
56	60
57	75
58	67
59	89
60	65
61	71
62	13
63	70
64	124
65	128

n	a(n)
1	1
2	3
3	2
4	4
5	11
6	9
7	6
8	8
9	19
10	5
11	21
12	7
13	12
14	14
15	16
16	30
17	17
18	39
19	15
20	45
21	20
22	22
23	56
24	46
25	25
26	87
27	31
28	33
29	74
30	36
31	32
32	62
33	66
34	96
35	34
36	72
37	109
38	37
39	78
40	54
41	42
42	44
43	40
44	86
45	90
46	116
47	112
48	94
49	49
50	85
51	100
52	52
53	171
54	61
55	126
56	60
57	75
58	67
59	89
60	65
61	71
62	13
63	70
64	124
65	128