A252867 - cp's OEIS frontend

A252867 a(n) = n if n <= 2, otherwise the smallest number not occurring earlier having in its binary representation at least one bit in common with a(n-2), but none with a(n-1).

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	3
7	12
8	17
9	6
10	9
11	18
12	8
13	7
14	24
15	33
16	14
17	32
18	11
19	36
20	19
21	40
22	16
23	13
24	48
25	15
26	80
27	34
28	20
29	35
30	28
31	65
32	22
33	41
34	66
35	21
36	42
37	68
38	25
39	38
40	72
41	23
42	64
43	26
44	69
45	50
46	73
47	52
48	67
49	44
50	81
51	46
52	129
53	30
54	97
55	130
56	29
57	98
58	132
59	27
60	100
61	131
62	56
63	70
64	49
65	74
66	37
67	82

[0, 1, 2, 5, 10, 4, 3, 12, 17, 6, 9, 18, 8, 7, 24, 33, 14, 32, 11, 36, 19, 40, 16, 13, 48, 15, 80, 34, 20, 35, 28, 65, 22, 41, 66, 21, 42, 68, 25, 38, 72, 23, 64, 26, 69, 50, 73, 52, 67, 44, 81, 46, 129, 30, 97, 130, 29, 98, 132, 27, 100, 131, 56, 70, 49, 74, 37, 82]

cp's OEIS Frontend

A252867 a(n) = n if n <= 2, otherwise the smallest number not occurring earlier having in its binary representation at least one bit in common with a(n-2), but none with a(n-1).

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	3
7	12
8	17
9	6
10	9
11	18
12	8
13	7
14	24
15	33
16	14
17	32
18	11
19	36
20	19
21	40
22	16
23	13
24	48
25	15
26	80
27	34
28	20
29	35
30	28
31	65
32	22
33	41
34	66
35	21
36	42
37	68
38	25
39	38
40	72
41	23
42	64
43	26
44	69
45	50
46	73
47	52
48	67
49	44
50	81
51	46
52	129
53	30
54	97
55	130
56	29
57	98
58	132
59	27
60	100
61	131
62	56
63	70
64	49
65	74
66	37
67	82

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	3
7	12
8	17
9	6
10	9
11	18
12	8
13	7
14	24
15	33
16	14
17	32
18	11
19	36
20	19
21	40
22	16
23	13
24	48
25	15
26	80
27	34
28	20
29	35
30	28
31	65
32	22
33	41
34	66
35	21
36	42
37	68
38	25
39	38
40	72
41	23
42	64
43	26
44	69
45	50
46	73
47	52
48	67
49	44
50	81
51	46
52	129
53	30
54	97
55	130
56	29
57	98
58	132
59	27
60	100
61	131
62	56
63	70
64	49
65	74
66	37
67	82

n	a(n)
0	0
1	1
2	2
3	5
4	10
5	4
6	3
7	12
8	17
9	6
10	9
11	18
12	8
13	7
14	24
15	33
16	14
17	32
18	11
19	36
20	19
21	40
22	16
23	13
24	48
25	15
26	80
27	34
28	20
29	35
30	28
31	65
32	22
33	41
34	66
35	21
36	42
37	68
38	25
39	38
40	72
41	23
42	64
43	26
44	69
45	50
46	73
47	52
48	67
49	44
50	81
51	46
52	129
53	30
54	97
55	130
56	29
57	98
58	132
59	27
60	100
61	131
62	56
63	70
64	49
65	74
66	37
67	82