A003714 - cp's OEIS frontend

A003714 Fibbinary numbers: if n = F(i1) + F(i2) + ... + F(ik) is the Zeckendorf representation of n (i.e., write n in Fibonacci number system) then a(n) = 2^(i1 - 2) + 2^(i2 - 2) + ... + 2^(ik - 2). Also numbers whose binary representation contains no two adjacent 1's.

n	a(n)
0	0
1	1
2	2
3	4
4	5
5	8
6	9
7	10
8	16
9	17
10	18
11	20
12	21
13	32
14	33
15	34
16	36
17	37
18	40
19	41
20	42
21	64
22	65
23	66
24	68
25	69
26	72
27	73
28	74
29	80
30	81
31	82
32	84
33	85
34	128
35	129
36	130
37	132
38	133
39	136
40	137
41	138
42	144
43	145
44	146
45	148
46	149
47	160
48	161
49	162
50	164
51	165
52	168
53	169
54	170
55	256
56	257
57	258
58	260
59	261
60	264

[0, 1, 2, 4, 5, 8, 9, 10, 16, 17, 18, 20, 21, 32, 33, 34, 36, 37, 40, 41, 42, 64, 65, 66, 68, 69, 72, 73, 74, 80, 81, 82, 84, 85, 128, 129, 130, 132, 133, 136, 137, 138, 144, 145, 146, 148, 149, 160, 161, 162, 164, 165, 168, 169, 170, 256, 257, 258, 260, 261, 264]

cp's OEIS Frontend

A003714 Fibbinary numbers: if n = F(i1) + F(i2) + ... + F(ik) is the Zeckendorf representation of n (i.e., write n in Fibonacci number system) then a(n) = 2^(i1 - 2) + 2^(i2 - 2) + ... + 2^(ik - 2). Also numbers whose binary representation contains no two adjacent 1's.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	4
4	5
5	8
6	9
7	10
8	16
9	17
10	18
11	20
12	21
13	32
14	33
15	34
16	36
17	37
18	40
19	41
20	42
21	64
22	65
23	66
24	68
25	69
26	72
27	73
28	74
29	80
30	81
31	82
32	84
33	85
34	128
35	129
36	130
37	132
38	133
39	136
40	137
41	138
42	144
43	145
44	146
45	148
46	149
47	160
48	161
49	162
50	164
51	165
52	168
53	169
54	170
55	256
56	257
57	258
58	260
59	261
60	264

n	a(n)
0	0
1	1
2	2
3	4
4	5
5	8
6	9
7	10
8	16
9	17
10	18
11	20
12	21
13	32
14	33
15	34
16	36
17	37
18	40
19	41
20	42
21	64
22	65
23	66
24	68
25	69
26	72
27	73
28	74
29	80
30	81
31	82
32	84
33	85
34	128
35	129
36	130
37	132
38	133
39	136
40	137
41	138
42	144
43	145
44	146
45	148
46	149
47	160
48	161
49	162
50	164
51	165
52	168
53	169
54	170
55	256
56	257
57	258
58	260
59	261
60	264

n	a(n)
0	0
1	1
2	2
3	4
4	5
5	8
6	9
7	10
8	16
9	17
10	18
11	20
12	21
13	32
14	33
15	34
16	36
17	37
18	40
19	41
20	42
21	64
22	65
23	66
24	68
25	69
26	72
27	73
28	74
29	80
30	81
31	82
32	84
33	85
34	128
35	129
36	130
37	132
38	133
39	136
40	137
41	138
42	144
43	145
44	146
45	148
46	149
47	160
48	161
49	162
50	164
51	165
52	168
53	169
54	170
55	256
56	257
57	258
58	260
59	261
60	264