A318058 - cp's OEIS frontend

A318058 a(n) is the number of decimal places to which the n-th convergent of the continued fraction expansion of the golden section matches the correct value.

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

[0, -1, 0, 1, 1, 1, 2, 2, 2, 3, 2, 4, 4, 5, 5, 5, 6, 5, 7, 7, 8, 7, 9, 9, 9, 10, 10, 10, 11, 10, 12, 12, 13, 12, 13, 14, 15, 14, 15, 16, 16, 16, 17, 17, 17, 18, 18, 19, 18, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 23, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30]

cp's OEIS Frontend

A318058 a(n) is the number of decimal places to which the n-th convergent of the continued fraction expansion of the golden section matches the correct value.

Table of values

List of values

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

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

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