A266121 - cp's OEIS frontend

A266121 Lexicographically first injection of natural numbers beginning with a(1)=1 such that 1+(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	3
3	5
4	4
5	2
6	8
7	9
8	7
9	12
10	6
11	14
12	24
13	11
14	13
15	20
16	16
17	10
18	26
19	40
20	17
21	15
22	39
23	28
24	19
25	27
26	25
27	23
28	48
29	22
30	30
31	44
32	31
33	33
34	32
35	18
36	36
37	29
38	47
39	45
40	52
41	21
42	55
43	49
44	84
45	61
46	43
47	51
48	53
49	80
50	34
51	64
52	37
53	35
54	59
55	75
56	117
57	93
58	91
59	57
60	41
61	100
62	82
63	50
64	104
65	42
66	98
67	106
68	90
69	114
70	72
71	58
72	144
73	65
74	63
75	151
76	56
77	38
78	54
79	76
80	71
81	60

[1, 3, 5, 4, 2, 8, 9, 7, 12, 6, 14, 24, 11, 13, 20, 16, 10, 26, 40, 17, 15, 39, 28, 19, 27, 25, 23, 48, 22, 30, 44, 31, 33, 32, 18, 36, 29, 47, 45, 52, 21, 55, 49, 84, 61, 43, 51, 53, 80, 34, 64, 37, 35, 59, 75, 117, 93, 91, 57, 41, 100, 82, 50, 104, 42, 98, 106, 90, 114, 72, 58, 144, 65, 63, 151, 56, 38, 54, 76, 71, 60]

cp's OEIS Frontend

A266121 Lexicographically first injection of natural numbers beginning with a(1)=1 such that 1+(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	3
3	5
4	4
5	2
6	8
7	9
8	7
9	12
10	6
11	14
12	24
13	11
14	13
15	20
16	16
17	10
18	26
19	40
20	17
21	15
22	39
23	28
24	19
25	27
26	25
27	23
28	48
29	22
30	30
31	44
32	31
33	33
34	32
35	18
36	36
37	29
38	47
39	45
40	52
41	21
42	55
43	49
44	84
45	61
46	43
47	51
48	53
49	80
50	34
51	64
52	37
53	35
54	59
55	75
56	117
57	93
58	91
59	57
60	41
61	100
62	82
63	50
64	104
65	42
66	98
67	106
68	90
69	114
70	72
71	58
72	144
73	65
74	63
75	151
76	56
77	38
78	54
79	76
80	71
81	60

n	a(n)
1	1
2	3
3	5
4	4
5	2
6	8
7	9
8	7
9	12
10	6
11	14
12	24
13	11
14	13
15	20
16	16
17	10
18	26
19	40
20	17
21	15
22	39
23	28
24	19
25	27
26	25
27	23
28	48
29	22
30	30
31	44
32	31
33	33
34	32
35	18
36	36
37	29
38	47
39	45
40	52
41	21
42	55
43	49
44	84
45	61
46	43
47	51
48	53
49	80
50	34
51	64
52	37
53	35
54	59
55	75
56	117
57	93
58	91
59	57
60	41
61	100
62	82
63	50
64	104
65	42
66	98
67	106
68	90
69	114
70	72
71	58
72	144
73	65
74	63
75	151
76	56
77	38
78	54
79	76
80	71
81	60

n	a(n)
1	1
2	3
3	5
4	4
5	2
6	8
7	9
8	7
9	12
10	6
11	14
12	24
13	11
14	13
15	20
16	16
17	10
18	26
19	40
20	17
21	15
22	39
23	28
24	19
25	27
26	25
27	23
28	48
29	22
30	30
31	44
32	31
33	33
34	32
35	18
36	36
37	29
38	47
39	45
40	52
41	21
42	55
43	49
44	84
45	61
46	43
47	51
48	53
49	80
50	34
51	64
52	37
53	35
54	59
55	75
56	117
57	93
58	91
59	57
60	41
61	100
62	82
63	50
64	104
65	42
66	98
67	106
68	90
69	114
70	72
71	58
72	144
73	65
74	63
75	151
76	56
77	38
78	54
79	76
80	71
81	60