A117407 - cp's OEIS frontend

A117407 a(n) = j if n is T(j), else a(n) = k if n is U(k), where T is a Beatty sequence based on (sqrt(5)+5)/2 (A054770) and U is its complement (A063732).

n	a(n)
0	1
1	2
2	1
3	3
4	4
5	5
6	2
7	6
8	7
9	3
10	8
11	9
12	10
13	4
14	11
15	12
16	13
17	5
18	14
19	15
20	6
21	16
22	17
23	18
24	7
25	19
26	20
27	8
28	21
29	22
30	23
31	9
32	24
33	25
34	26
35	10
36	27
37	28
38	11
39	29
40	30
41	31
42	12
43	32
44	33
45	34
46	13
47	35
48	36
49	14
50	37
51	38
52	39
53	15
54	40
55	41
56	16
57	42
58	43
59	44
60	17
61	45
62	46
63	47
64	18
65	48
66	49
67	19
68	50
69	51
70	52
71	20
72	53
73	54
74	21
75	55

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

cp's OEIS Frontend

A117407 a(n) = j if n is T(j), else a(n) = k if n is U(k), where T is a Beatty sequence based on (sqrt(5)+5)/2 (A054770) and U is its complement (A063732).

Table of values

List of values

n	a(n)
0	1
1	2
2	1
3	3
4	4
5	5
6	2
7	6
8	7
9	3
10	8
11	9
12	10
13	4
14	11
15	12
16	13
17	5
18	14
19	15
20	6
21	16
22	17
23	18
24	7
25	19
26	20
27	8
28	21
29	22
30	23
31	9
32	24
33	25
34	26
35	10
36	27
37	28
38	11
39	29
40	30
41	31
42	12
43	32
44	33
45	34
46	13
47	35
48	36
49	14
50	37
51	38
52	39
53	15
54	40
55	41
56	16
57	42
58	43
59	44
60	17
61	45
62	46
63	47
64	18
65	48
66	49
67	19
68	50
69	51
70	52
71	20
72	53
73	54
74	21
75	55

n	a(n)
0	1
1	2
2	1
3	3
4	4
5	5
6	2
7	6
8	7
9	3
10	8
11	9
12	10
13	4
14	11
15	12
16	13
17	5
18	14
19	15
20	6
21	16
22	17
23	18
24	7
25	19
26	20
27	8
28	21
29	22
30	23
31	9
32	24
33	25
34	26
35	10
36	27
37	28
38	11
39	29
40	30
41	31
42	12
43	32
44	33
45	34
46	13
47	35
48	36
49	14
50	37
51	38
52	39
53	15
54	40
55	41
56	16
57	42
58	43
59	44
60	17
61	45
62	46
63	47
64	18
65	48
66	49
67	19
68	50
69	51
70	52
71	20
72	53
73	54
74	21
75	55

n	a(n)
0	1
1	2
2	1
3	3
4	4
5	5
6	2
7	6
8	7
9	3
10	8
11	9
12	10
13	4
14	11
15	12
16	13
17	5
18	14
19	15
20	6
21	16
22	17
23	18
24	7
25	19
26	20
27	8
28	21
29	22
30	23
31	9
32	24
33	25
34	26
35	10
36	27
37	28
38	11
39	29
40	30
41	31
42	12
43	32
44	33
45	34
46	13
47	35
48	36
49	14
50	37
51	38
52	39
53	15
54	40
55	41
56	16
57	42
58	43
59	44
60	17
61	45
62	46
63	47
64	18
65	48
66	49
67	19
68	50
69	51
70	52
71	20
72	53
73	54
74	21
75	55