A317558 - cp's OEIS frontend

A317558 Number of decimal digits to which the n-th convergent of the continued fraction expansion of log(2) matches the correct value.

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

[0, -1, 1, 0, 2, 4, 5, 4, 5, 6, 6, 6, 7, 8, 9, 10, 11, 10, 12, 13, 13, 13, 14, 15, 15, 16, 17, 18, 20, 22, 22, 23, 23, 24, 25, 26, 27, 27, 28, 29, 31, 32, 33, 34, 35, 36, 38, 40, 39, 41, 39, 43, 44, 45, 46, 48, 48, 49, 51, 52, 52, 54, 54, 55, 55, 56, 57, 57, 58]

cp's OEIS Frontend

A317558 Number of decimal digits to which the n-th convergent of the continued fraction expansion of log(2) matches the correct value.

Table of values

List of values

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

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

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