A317908 - cp's OEIS frontend

A317908 Number of decimal places to which the n-th convergent of the continued fraction expansion of Khintchine's constant matches the correct value.

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

[0, -1, 1, 2, 2, 3, 3, 4, 4, 6, 5, 8, 8, 9, 11, 13, 12, 14, 15, 16, 16, 16, 18, 21, 21, 23, 24, 24, 25, 25, 26, 27, 28, 29, 30, 30, 32, 32, 33, 33, 36, 35, 36, 37, 37, 38, 39, 39, 40, 41, 42, 42, 43, 44, 45, 44, 46, 47, 48, 48, 49, 50, 51, 54, 55, 56, 56, 58, 58, 60]

cp's OEIS Frontend

A317908 Number of decimal places to which the n-th convergent of the continued fraction expansion of Khintchine's constant matches the correct value.

Table of values

List of values

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

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

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