A109168 - cp's OEIS frontend

A109168 Continued fraction expansion of the constant x (A109169) such that the continued fraction of 2*x yields the continued fraction of x interleaved with the positive even numbers.

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

[1, 2, 2, 4, 3, 4, 4, 8, 5, 6, 6, 8, 7, 8, 8, 16, 9, 10, 10, 12, 11, 12, 12, 16, 13, 14, 14, 16, 15, 16, 16, 32, 17, 18, 18, 20, 19, 20, 20, 24, 21, 22, 22, 24, 23, 24, 24, 32, 25, 26, 26, 28, 27, 28, 28, 32, 29, 30, 30, 32, 31, 32, 32, 64, 33, 34, 34, 36, 35, 36, 36, 40, 37, 38, 38]

cp's OEIS Frontend

A109168 Continued fraction expansion of the constant x (A109169) such that the continued fraction of 2*x yields the continued fraction of x interleaved with the positive even numbers.

Table of values

List of values

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

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

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