A354420 - cp's OEIS frontend

A354420 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n>3, a(n) has a common factor with a(n-2), shares a 1-bit in its binary expansion with a(n-2), has no common factor with a(n-1), and does not share a 1-bit in its binary expansion with a(n-1).

n	a(n)
1	1
2	2
3	5
4	18
5	65
6	6
7	25
8	4
9	35
10	12
11	49
12	8
13	7
14	24
15	133
16	10
17	21
18	34
19	9
20	22
21	105
22	16
23	3
24	20
25	33
26	14
27	81
28	38
29	129
30	26
31	69
32	40
33	23
34	32
35	207
36	304
37	15
38	112
39	135
40	56
41	195
42	28
43	99
44	136
45	39
46	88
47	261
48	50
49	141
50	80
51	47
52	64
53	423
54	584
55	51
56	76
57	17
58	36
59	323
60	44
61	19
62	68
63	57
64	70
65	153
66	98
67	285
68	194
69	45
70	82
71	165

[1, 2, 5, 18, 65, 6, 25, 4, 35, 12, 49, 8, 7, 24, 133, 10, 21, 34, 9, 22, 105, 16, 3, 20, 33, 14, 81, 38, 129, 26, 69, 40, 23, 32, 207, 304, 15, 112, 135, 56, 195, 28, 99, 136, 39, 88, 261, 50, 141, 80, 47, 64, 423, 584, 51, 76, 17, 36, 323, 44, 19, 68, 57, 70, 153, 98, 285, 194, 45, 82, 165]

cp's OEIS Frontend

A354420 Lexicographically earliest infinite sequence of distinct positive numbers such that, for n>3, a(n) has a common factor with a(n-2), shares a 1-bit in its binary expansion with a(n-2), has no common factor with a(n-1), and does not share a 1-bit in its binary expansion with a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	5
4	18
5	65
6	6
7	25
8	4
9	35
10	12
11	49
12	8
13	7
14	24
15	133
16	10
17	21
18	34
19	9
20	22
21	105
22	16
23	3
24	20
25	33
26	14
27	81
28	38
29	129
30	26
31	69
32	40
33	23
34	32
35	207
36	304
37	15
38	112
39	135
40	56
41	195
42	28
43	99
44	136
45	39
46	88
47	261
48	50
49	141
50	80
51	47
52	64
53	423
54	584
55	51
56	76
57	17
58	36
59	323
60	44
61	19
62	68
63	57
64	70
65	153
66	98
67	285
68	194
69	45
70	82
71	165

n	a(n)
1	1
2	2
3	5
4	18
5	65
6	6
7	25
8	4
9	35
10	12
11	49
12	8
13	7
14	24
15	133
16	10
17	21
18	34
19	9
20	22
21	105
22	16
23	3
24	20
25	33
26	14
27	81
28	38
29	129
30	26
31	69
32	40
33	23
34	32
35	207
36	304
37	15
38	112
39	135
40	56
41	195
42	28
43	99
44	136
45	39
46	88
47	261
48	50
49	141
50	80
51	47
52	64
53	423
54	584
55	51
56	76
57	17
58	36
59	323
60	44
61	19
62	68
63	57
64	70
65	153
66	98
67	285
68	194
69	45
70	82
71	165

n	a(n)
1	1
2	2
3	5
4	18
5	65
6	6
7	25
8	4
9	35
10	12
11	49
12	8
13	7
14	24
15	133
16	10
17	21
18	34
19	9
20	22
21	105
22	16
23	3
24	20
25	33
26	14
27	81
28	38
29	129
30	26
31	69
32	40
33	23
34	32
35	207
36	304
37	15
38	112
39	135
40	56
41	195
42	28
43	99
44	136
45	39
46	88
47	261
48	50
49	141
50	80
51	47
52	64
53	423
54	584
55	51
56	76
57	17
58	36
59	323
60	44
61	19
62	68
63	57
64	70
65	153
66	98
67	285
68	194
69	45
70	82
71	165