A139036 - cp's OEIS frontend

A139036 a(n) = the number of 1's in the continued fraction expansion of the n-th harmonic number, H(n) = Sum_{k=1 to n} 1/k.

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

[1, 1, 2, 0, 2, 0, 2, 3, 5, 3, 1, 4, 6, 2, 3, 8, 8, 5, 8, 4, 10, 8, 8, 8, 7, 12, 9, 10, 13, 9, 8, 5, 10, 9, 12, 17, 15, 7, 9, 13, 8, 14, 12, 13, 14, 12, 11, 18, 17, 21, 19, 11, 12, 18, 16, 21, 33, 28, 19, 14, 20, 31, 19, 17, 21, 21, 16, 28, 23, 19, 18, 27, 40]

cp's OEIS Frontend

A139036 a(n) = the number of 1's in the continued fraction expansion of the n-th harmonic number, H(n) = Sum_{k=1 to n} 1/k.

Table of values

List of values

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

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

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