A352199 - cp's OEIS frontend

A352199 a(0)=0, a(1)=1, a(2)=2; thereafter, a(n) is smallest number m not yet in the sequence such that the binary expansions of m and a(n-2) have a 1 in common, but the 1's in m are disjoint from the 1's in a(n-1) and a(n-3).

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	8
7	20
8	9
9	6
10	33
11	18
12	32
13	14
14	96
15	3
16	48
17	7
18	16
19	11
20	80
21	12
22	64
23	13
24	66
25	17
26	34
27	21
28	40
29	65
30	42
31	68
32	24
33	69
34	26
35	36
36	130
37	37
38	74
39	49
40	72
41	52
42	136
43	19
44	128
45	22
46	160
47	15
48	192
49	23
50	224
51	25
52	288
53	27
54	100
55	129
56	260
57	131
58	28
59	35
60	76
61	161
62	84
63	162
64	88

[0, 1, 2, 5, 10, 4, 8, 20, 9, 6, 33, 18, 32, 14, 96, 3, 48, 7, 16, 11, 80, 12, 64, 13, 66, 17, 34, 21, 40, 65, 42, 68, 24, 69, 26, 36, 130, 37, 74, 49, 72, 52, 136, 19, 128, 22, 160, 15, 192, 23, 224, 25, 288, 27, 100, 129, 260, 131, 28, 35, 76, 161, 84, 162, 88]

cp's OEIS Frontend

A352199 a(0)=0, a(1)=1, a(2)=2; thereafter, a(n) is smallest number m not yet in the sequence such that the binary expansions of m and a(n-2) have a 1 in common, but the 1's in m are disjoint from the 1's in a(n-1) and a(n-3).

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	8
7	20
8	9
9	6
10	33
11	18
12	32
13	14
14	96
15	3
16	48
17	7
18	16
19	11
20	80
21	12
22	64
23	13
24	66
25	17
26	34
27	21
28	40
29	65
30	42
31	68
32	24
33	69
34	26
35	36
36	130
37	37
38	74
39	49
40	72
41	52
42	136
43	19
44	128
45	22
46	160
47	15
48	192
49	23
50	224
51	25
52	288
53	27
54	100
55	129
56	260
57	131
58	28
59	35
60	76
61	161
62	84
63	162
64	88

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	8
7	20
8	9
9	6
10	33
11	18
12	32
13	14
14	96
15	3
16	48
17	7
18	16
19	11
20	80
21	12
22	64
23	13
24	66
25	17
26	34
27	21
28	40
29	65
30	42
31	68
32	24
33	69
34	26
35	36
36	130
37	37
38	74
39	49
40	72
41	52
42	136
43	19
44	128
45	22
46	160
47	15
48	192
49	23
50	224
51	25
52	288
53	27
54	100
55	129
56	260
57	131
58	28
59	35
60	76
61	161
62	84
63	162
64	88

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	8
7	20
8	9
9	6
10	33
11	18
12	32
13	14
14	96
15	3
16	48
17	7
18	16
19	11
20	80
21	12
22	64
23	13
24	66
25	17
26	34
27	21
28	40
29	65
30	42
31	68
32	24
33	69
34	26
35	36
36	130
37	37
38	74
39	49
40	72
41	52
42	136
43	19
44	128
45	22
46	160
47	15
48	192
49	23
50	224
51	25
52	288
53	27
54	100
55	129
56	260
57	131
58	28
59	35
60	76
61	161
62	84
63	162
64	88