A338698 - cp's OEIS frontend

A338698 Lexicographically latest sequence of distinct nonnegative terms such that for any n >= 0, n and a(n) have the same number of 0's and the same number of 1's in their Zeckendorf-binary representations.

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	7
7	6
8	8
9	11
10	10
11	9
12	12
13	13
14	18
15	16
16	15
17	20
18	14
19	19
20	17
21	21
22	29
23	26
24	24
25	32
26	23
27	31
28	30
29	22
30	28
31	27
32	25
33	33
34	34
35	47
36	42
37	39
38	52
39	37
40	50
41	49
42	36
43	48
44	45
45	44
46	54
47	35
48	43
49	41
50	40
51	53
52	38
53	51
54	46
55	55
56	76
57	68
58	63
59	84
60	60
61	81
62	79
63	58
64	78
65	77
66	73
67	87

[0, 1, 2, 3, 4, 5, 7, 6, 8, 11, 10, 9, 12, 13, 18, 16, 15, 20, 14, 19, 17, 21, 29, 26, 24, 32, 23, 31, 30, 22, 28, 27, 25, 33, 34, 47, 42, 39, 52, 37, 50, 49, 36, 48, 45, 44, 54, 35, 43, 41, 40, 53, 38, 51, 46, 55, 76, 68, 63, 84, 60, 81, 79, 58, 78, 77, 73, 87]

cp's OEIS Frontend

A338698 Lexicographically latest sequence of distinct nonnegative terms such that for any n >= 0, n and a(n) have the same number of 0's and the same number of 1's in their Zeckendorf-binary representations.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	7
7	6
8	8
9	11
10	10
11	9
12	12
13	13
14	18
15	16
16	15
17	20
18	14
19	19
20	17
21	21
22	29
23	26
24	24
25	32
26	23
27	31
28	30
29	22
30	28
31	27
32	25
33	33
34	34
35	47
36	42
37	39
38	52
39	37
40	50
41	49
42	36
43	48
44	45
45	44
46	54
47	35
48	43
49	41
50	40
51	53
52	38
53	51
54	46
55	55
56	76
57	68
58	63
59	84
60	60
61	81
62	79
63	58
64	78
65	77
66	73
67	87

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	7
7	6
8	8
9	11
10	10
11	9
12	12
13	13
14	18
15	16
16	15
17	20
18	14
19	19
20	17
21	21
22	29
23	26
24	24
25	32
26	23
27	31
28	30
29	22
30	28
31	27
32	25
33	33
34	34
35	47
36	42
37	39
38	52
39	37
40	50
41	49
42	36
43	48
44	45
45	44
46	54
47	35
48	43
49	41
50	40
51	53
52	38
53	51
54	46
55	55
56	76
57	68
58	63
59	84
60	60
61	81
62	79
63	58
64	78
65	77
66	73
67	87

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	5
6	7
7	6
8	8
9	11
10	10
11	9
12	12
13	13
14	18
15	16
16	15
17	20
18	14
19	19
20	17
21	21
22	29
23	26
24	24
25	32
26	23
27	31
28	30
29	22
30	28
31	27
32	25
33	33
34	34
35	47
36	42
37	39
38	52
39	37
40	50
41	49
42	36
43	48
44	45
45	44
46	54
47	35
48	43
49	41
50	40
51	53
52	38
53	51
54	46
55	55
56	76
57	68
58	63
59	84
60	60
61	81
62	79
63	58
64	78
65	77
66	73
67	87