A269361 - cp's OEIS frontend

A269361 Lexicographically first injection of natural numbers beginning with a(1)=1 such that a(n)*a(n+1) is a fibbinary number (A003714), i.e., has no adjacent 1's in its base-2 representation.

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	9
7	16
8	10
9	13
10	20
11	17
12	32
13	18
14	29
15	36
16	33
17	40
18	26
19	21
20	49
21	42
22	52
23	25
24	41
25	50
26	82
27	57
28	45
29	53
30	80
31	34
32	64
33	37
34	113
35	74
36	125
37	84
38	61
39	72
40	58
41	73
42	65
43	68
44	69
45	128
46	66
47	129
48	132
49	133
50	77
51	114
52	81
53	117
54	90
55	104
56	85
57	98
58	89
59	93
60	100
61	105
62	161
63	106
64	97
65	169
66	122
67	137
68	157
69	138
70	136
71	121
72	141
73	149
74	221
75	153
76	109
77	160
78	116
79	144

[1, 2, 4, 5, 8, 9, 16, 10, 13, 20, 17, 32, 18, 29, 36, 33, 40, 26, 21, 49, 42, 52, 25, 41, 50, 82, 57, 45, 53, 80, 34, 64, 37, 113, 74, 125, 84, 61, 72, 58, 73, 65, 68, 69, 128, 66, 129, 132, 133, 77, 114, 81, 117, 90, 104, 85, 98, 89, 93, 100, 105, 161, 106, 97, 169, 122, 137, 157, 138, 136, 121, 141, 149, 221, 153, 109, 160, 116, 144]

cp's OEIS Frontend

A269361 Lexicographically first injection of natural numbers beginning with a(1)=1 such that a(n)*a(n+1) is a fibbinary number (A003714), i.e., has no adjacent 1's in its base-2 representation.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	9
7	16
8	10
9	13
10	20
11	17
12	32
13	18
14	29
15	36
16	33
17	40
18	26
19	21
20	49
21	42
22	52
23	25
24	41
25	50
26	82
27	57
28	45
29	53
30	80
31	34
32	64
33	37
34	113
35	74
36	125
37	84
38	61
39	72
40	58
41	73
42	65
43	68
44	69
45	128
46	66
47	129
48	132
49	133
50	77
51	114
52	81
53	117
54	90
55	104
56	85
57	98
58	89
59	93
60	100
61	105
62	161
63	106
64	97
65	169
66	122
67	137
68	157
69	138
70	136
71	121
72	141
73	149
74	221
75	153
76	109
77	160
78	116
79	144

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	9
7	16
8	10
9	13
10	20
11	17
12	32
13	18
14	29
15	36
16	33
17	40
18	26
19	21
20	49
21	42
22	52
23	25
24	41
25	50
26	82
27	57
28	45
29	53
30	80
31	34
32	64
33	37
34	113
35	74
36	125
37	84
38	61
39	72
40	58
41	73
42	65
43	68
44	69
45	128
46	66
47	129
48	132
49	133
50	77
51	114
52	81
53	117
54	90
55	104
56	85
57	98
58	89
59	93
60	100
61	105
62	161
63	106
64	97
65	169
66	122
67	137
68	157
69	138
70	136
71	121
72	141
73	149
74	221
75	153
76	109
77	160
78	116
79	144

n	a(n)
1	1
2	2
3	4
4	5
5	8
6	9
7	16
8	10
9	13
10	20
11	17
12	32
13	18
14	29
15	36
16	33
17	40
18	26
19	21
20	49
21	42
22	52
23	25
24	41
25	50
26	82
27	57
28	45
29	53
30	80
31	34
32	64
33	37
34	113
35	74
36	125
37	84
38	61
39	72
40	58
41	73
42	65
43	68
44	69
45	128
46	66
47	129
48	132
49	133
50	77
51	114
52	81
53	117
54	90
55	104
56	85
57	98
58	89
59	93
60	100
61	105
62	161
63	106
64	97
65	169
66	122
67	137
68	157
69	138
70	136
71	121
72	141
73	149
74	221
75	153
76	109
77	160
78	116
79	144