A295282 - cp's OEIS frontend

A295282 a(n) > n is chosen to minimize the difference between ratios a(n):n and n:(a(n) - n), so that they are matching approximations to the golden ratio.

n	a(n)
1	2
2	3
3	5
4	7
5	8
6	10
7	11
8	13
9	15
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	29
19	31
20	32
21	34
22	36
23	37
24	39
25	40
26	42
27	44
28	45
29	47
30	49
31	50
32	52
33	53
34	55
35	57
36	58
37	60
38	61
39	63
40	65
41	66
42	68
43	70
44	71
45	73
46	74
47	76
48	78
49	79
50	81
51	83
52	84
53	86
54	87
55	89
56	91
57	92
58	94
59	95
60	97
61	99
62	100
63	102
64	104
65	105
66	107
67	108

[2, 3, 5, 7, 8, 10, 11, 13, 15, 16, 18, 19, 21, 23, 24, 26, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 44, 45, 47, 49, 50, 52, 53, 55, 57, 58, 60, 61, 63, 65, 66, 68, 70, 71, 73, 74, 76, 78, 79, 81, 83, 84, 86, 87, 89, 91, 92, 94, 95, 97, 99, 100, 102, 104, 105, 107, 108]

cp's OEIS Frontend

A295282 a(n) > n is chosen to minimize the difference between ratios a(n):n and n:(a(n) - n), so that they are matching approximations to the golden ratio.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	7
5	8
6	10
7	11
8	13
9	15
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	29
19	31
20	32
21	34
22	36
23	37
24	39
25	40
26	42
27	44
28	45
29	47
30	49
31	50
32	52
33	53
34	55
35	57
36	58
37	60
38	61
39	63
40	65
41	66
42	68
43	70
44	71
45	73
46	74
47	76
48	78
49	79
50	81
51	83
52	84
53	86
54	87
55	89
56	91
57	92
58	94
59	95
60	97
61	99
62	100
63	102
64	104
65	105
66	107
67	108

n	a(n)
1	2
2	3
3	5
4	7
5	8
6	10
7	11
8	13
9	15
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	29
19	31
20	32
21	34
22	36
23	37
24	39
25	40
26	42
27	44
28	45
29	47
30	49
31	50
32	52
33	53
34	55
35	57
36	58
37	60
38	61
39	63
40	65
41	66
42	68
43	70
44	71
45	73
46	74
47	76
48	78
49	79
50	81
51	83
52	84
53	86
54	87
55	89
56	91
57	92
58	94
59	95
60	97
61	99
62	100
63	102
64	104
65	105
66	107
67	108

n	a(n)
1	2
2	3
3	5
4	7
5	8
6	10
7	11
8	13
9	15
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	29
19	31
20	32
21	34
22	36
23	37
24	39
25	40
26	42
27	44
28	45
29	47
30	49
31	50
32	52
33	53
34	55
35	57
36	58
37	60
38	61
39	63
40	65
41	66
42	68
43	70
44	71
45	73
46	74
47	76
48	78
49	79
50	81
51	83
52	84
53	86
54	87
55	89
56	91
57	92
58	94
59	95
60	97
61	99
62	100
63	102
64	104
65	105
66	107
67	108