A357578 - cp's OEIS frontend

A357578 Lexicographically earliest infinite sequence of distinct positive numbers with the property that a(n) is the smallest number not yet in the sequence with a Hamming weight equal to the Hamming weight of the XOR of previous two terms.

n	a(n)
1	1
2	2
3	3
4	4
5	7
6	5
7	8
8	11
9	6
10	13
11	14
12	9
13	19
14	21
15	10
16	31
17	22
18	12
19	25
20	26
21	17
22	28
23	35
24	63
25	37
26	38
27	18
28	41
29	47
30	20
31	55
32	42
33	15
34	44
35	49
36	23
37	50
38	52
39	24
40	56
41	16
42	33
43	67
44	69
45	34
46	59
47	70
48	95
49	73
50	74
51	36
52	61
53	76
54	27
55	62
56	81
57	111
58	79
59	32
60	119
61	87
62	64
63	29
64	91
65	82
66	40
67	93
68	94
69	48
70	103
71	107
72	65
73	84
74	88

[1, 2, 3, 4, 7, 5, 8, 11, 6, 13, 14, 9, 19, 21, 10, 31, 22, 12, 25, 26, 17, 28, 35, 63, 37, 38, 18, 41, 47, 20, 55, 42, 15, 44, 49, 23, 50, 52, 24, 56, 16, 33, 67, 69, 34, 59, 70, 95, 73, 74, 36, 61, 76, 27, 62, 81, 111, 79, 32, 119, 87, 64, 29, 91, 82, 40, 93, 94, 48, 103, 107, 65, 84, 88]

cp's OEIS Frontend

A357578 Lexicographically earliest infinite sequence of distinct positive numbers with the property that a(n) is the smallest number not yet in the sequence with a Hamming weight equal to the Hamming weight of the XOR of previous two terms.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	7
6	5
7	8
8	11
9	6
10	13
11	14
12	9
13	19
14	21
15	10
16	31
17	22
18	12
19	25
20	26
21	17
22	28
23	35
24	63
25	37
26	38
27	18
28	41
29	47
30	20
31	55
32	42
33	15
34	44
35	49
36	23
37	50
38	52
39	24
40	56
41	16
42	33
43	67
44	69
45	34
46	59
47	70
48	95
49	73
50	74
51	36
52	61
53	76
54	27
55	62
56	81
57	111
58	79
59	32
60	119
61	87
62	64
63	29
64	91
65	82
66	40
67	93
68	94
69	48
70	103
71	107
72	65
73	84
74	88

n	a(n)
1	1
2	2
3	3
4	4
5	7
6	5
7	8
8	11
9	6
10	13
11	14
12	9
13	19
14	21
15	10
16	31
17	22
18	12
19	25
20	26
21	17
22	28
23	35
24	63
25	37
26	38
27	18
28	41
29	47
30	20
31	55
32	42
33	15
34	44
35	49
36	23
37	50
38	52
39	24
40	56
41	16
42	33
43	67
44	69
45	34
46	59
47	70
48	95
49	73
50	74
51	36
52	61
53	76
54	27
55	62
56	81
57	111
58	79
59	32
60	119
61	87
62	64
63	29
64	91
65	82
66	40
67	93
68	94
69	48
70	103
71	107
72	65
73	84
74	88

n	a(n)
1	1
2	2
3	3
4	4
5	7
6	5
7	8
8	11
9	6
10	13
11	14
12	9
13	19
14	21
15	10
16	31
17	22
18	12
19	25
20	26
21	17
22	28
23	35
24	63
25	37
26	38
27	18
28	41
29	47
30	20
31	55
32	42
33	15
34	44
35	49
36	23
37	50
38	52
39	24
40	56
41	16
42	33
43	67
44	69
45	34
46	59
47	70
48	95
49	73
50	74
51	36
52	61
53	76
54	27
55	62
56	81
57	111
58	79
59	32
60	119
61	87
62	64
63	29
64	91
65	82
66	40
67	93
68	94
69	48
70	103
71	107
72	65
73	84
74	88