A088458 - cp's OEIS frontend

A088458 a(n) equals the number of partial quotients of the simple continued fraction expansion of the nonsimple continued fraction: 1/(1+2/(2+3/(3+...+n/n)))).

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	8
7	13
8	11
9	12
10	18
11	22
12	20
13	27
14	27
15	24
16	32
17	35
18	34
19	39
20	43
21	44
22	42
23	44
24	53
25	56
26	54
27	60
28	67
29	69
30	59
31	72
32	75
33	76
34	72
35	83
36	81
37	87
38	81
39	96
40	99
41	102
42	107
43	108
44	106
45	105
46	112
47	114
48	115
49	121
50	130
51	125
52	129
53	125
54	131
55	135
56	152
57	149
58	139
59	139
60	150
61	154
62	161
63	162

[1, 2, 4, 6, 7, 8, 13, 11, 12, 18, 22, 20, 27, 27, 24, 32, 35, 34, 39, 43, 44, 42, 44, 53, 56, 54, 60, 67, 69, 59, 72, 75, 76, 72, 83, 81, 87, 81, 96, 99, 102, 107, 108, 106, 105, 112, 114, 115, 121, 130, 125, 129, 125, 131, 135, 152, 149, 139, 139, 150, 154, 161, 162]

cp's OEIS Frontend

A088458 a(n) equals the number of partial quotients of the simple continued fraction expansion of the nonsimple continued fraction: 1/(1+2/(2+3/(3+...+n/n)))).

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	8
7	13
8	11
9	12
10	18
11	22
12	20
13	27
14	27
15	24
16	32
17	35
18	34
19	39
20	43
21	44
22	42
23	44
24	53
25	56
26	54
27	60
28	67
29	69
30	59
31	72
32	75
33	76
34	72
35	83
36	81
37	87
38	81
39	96
40	99
41	102
42	107
43	108
44	106
45	105
46	112
47	114
48	115
49	121
50	130
51	125
52	129
53	125
54	131
55	135
56	152
57	149
58	139
59	139
60	150
61	154
62	161
63	162

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	8
7	13
8	11
9	12
10	18
11	22
12	20
13	27
14	27
15	24
16	32
17	35
18	34
19	39
20	43
21	44
22	42
23	44
24	53
25	56
26	54
27	60
28	67
29	69
30	59
31	72
32	75
33	76
34	72
35	83
36	81
37	87
38	81
39	96
40	99
41	102
42	107
43	108
44	106
45	105
46	112
47	114
48	115
49	121
50	130
51	125
52	129
53	125
54	131
55	135
56	152
57	149
58	139
59	139
60	150
61	154
62	161
63	162

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	8
7	13
8	11
9	12
10	18
11	22
12	20
13	27
14	27
15	24
16	32
17	35
18	34
19	39
20	43
21	44
22	42
23	44
24	53
25	56
26	54
27	60
28	67
29	69
30	59
31	72
32	75
33	76
34	72
35	83
36	81
37	87
38	81
39	96
40	99
41	102
42	107
43	108
44	106
45	105
46	112
47	114
48	115
49	121
50	130
51	125
52	129
53	125
54	131
55	135
56	152
57	149
58	139
59	139
60	150
61	154
62	161
63	162