A126083 - cp's OEIS frontend

A126083 a(n) = numerator of H(n) taken mod n, where H(n) = Sum_{k=1..n} 1/k is the n-th harmonic number.

n	a(n)
1	0
2	1
3	2
4	1
5	2
6	1
7	6
8	1
9	1
10	1
11	1
12	5
13	4
14	3
15	2
16	15
17	5
18	13
19	11
20	15
21	11
22	13
23	8
24	19
25	17
26	3
27	23
28	19
29	1
30	7
31	20
32	15
33	13
34	33
35	19
36	25
37	17
38	9
39	28
40	13
41	20
42	35
43	27
44	35
45	22
46	43
47	28
48	23
49	17
50	9
51	20
52	7
53	29
54	17
55	19
56	53
57	53
58	15
59	7
60	31
61	46
62	7
63	34
64	27
65	24
66	7
67	11
68	47
69	11
70	13
71	42
72	61
73	56
74	25
75	58
76	9
77	66
78	29
79	44

[0, 1, 2, 1, 2, 1, 6, 1, 1, 1, 1, 5, 4, 3, 2, 15, 5, 13, 11, 15, 11, 13, 8, 19, 17, 3, 23, 19, 1, 7, 20, 15, 13, 33, 19, 25, 17, 9, 28, 13, 20, 35, 27, 35, 22, 43, 28, 23, 17, 9, 20, 7, 29, 17, 19, 53, 53, 15, 7, 31, 46, 7, 34, 27, 24, 7, 11, 47, 11, 13, 42, 61, 56, 25, 58, 9, 66, 29, 44]

cp's OEIS Frontend

A126083 a(n) = numerator of H(n) taken mod n, where H(n) = Sum_{k=1..n} 1/k is the n-th harmonic number.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	1
5	2
6	1
7	6
8	1
9	1
10	1
11	1
12	5
13	4
14	3
15	2
16	15
17	5
18	13
19	11
20	15
21	11
22	13
23	8
24	19
25	17
26	3
27	23
28	19
29	1
30	7
31	20
32	15
33	13
34	33
35	19
36	25
37	17
38	9
39	28
40	13
41	20
42	35
43	27
44	35
45	22
46	43
47	28
48	23
49	17
50	9
51	20
52	7
53	29
54	17
55	19
56	53
57	53
58	15
59	7
60	31
61	46
62	7
63	34
64	27
65	24
66	7
67	11
68	47
69	11
70	13
71	42
72	61
73	56
74	25
75	58
76	9
77	66
78	29
79	44

n	a(n)
1	0
2	1
3	2
4	1
5	2
6	1
7	6
8	1
9	1
10	1
11	1
12	5
13	4
14	3
15	2
16	15
17	5
18	13
19	11
20	15
21	11
22	13
23	8
24	19
25	17
26	3
27	23
28	19
29	1
30	7
31	20
32	15
33	13
34	33
35	19
36	25
37	17
38	9
39	28
40	13
41	20
42	35
43	27
44	35
45	22
46	43
47	28
48	23
49	17
50	9
51	20
52	7
53	29
54	17
55	19
56	53
57	53
58	15
59	7
60	31
61	46
62	7
63	34
64	27
65	24
66	7
67	11
68	47
69	11
70	13
71	42
72	61
73	56
74	25
75	58
76	9
77	66
78	29
79	44

n	a(n)
1	0
2	1
3	2
4	1
5	2
6	1
7	6
8	1
9	1
10	1
11	1
12	5
13	4
14	3
15	2
16	15
17	5
18	13
19	11
20	15
21	11
22	13
23	8
24	19
25	17
26	3
27	23
28	19
29	1
30	7
31	20
32	15
33	13
34	33
35	19
36	25
37	17
38	9
39	28
40	13
41	20
42	35
43	27
44	35
45	22
46	43
47	28
48	23
49	17
50	9
51	20
52	7
53	29
54	17
55	19
56	53
57	53
58	15
59	7
60	31
61	46
62	7
63	34
64	27
65	24
66	7
67	11
68	47
69	11
70	13
71	42
72	61
73	56
74	25
75	58
76	9
77	66
78	29
79	44