A057641 - cp's OEIS frontend

A057641 a(n) = floor(H(n) + exp(H(n))*log(H(n))) - sigma(n), where H(n) = Sum_{k=1..n} 1/k and sigma(n) (A000203) is the sum of the divisors of n.

n	a(n)
1	0
2	0
3	1
4	0
5	4
6	0
7	7
8	2
9	7
10	5
11	13
12	0
13	17
14	9
15	12
16	8
17	23
18	5
19	27
20	8
21	21
22	20
23	34
24	1
25	33
26	25
27	30
28	17
29	46
30	7
31	50
32	22
33	40
34	37
35	46
36	6
37	62
38	43
39	50
40	19
41	70
42	19
43	74
44	37
45	46
46	55
47	82
48	9
49	79
50	46
51	70
52	47
53	95
54	32
55	83
56	38
57	81
58	74
59	107
60	2
61	112
62	81
63	76
64	56
65	102
66	45
67	125
68	70
69	103
70	58
71	133
72	14
73	138
74	101

[0, 0, 1, 0, 4, 0, 7, 2, 7, 5, 13, 0, 17, 9, 12, 8, 23, 5, 27, 8, 21, 20, 34, 1, 33, 25, 30, 17, 46, 7, 50, 22, 40, 37, 46, 6, 62, 43, 50, 19, 70, 19, 74, 37, 46, 55, 82, 9, 79, 46, 70, 47, 95, 32, 83, 38, 81, 74, 107, 2, 112, 81, 76, 56, 102, 45, 125, 70, 103, 58, 133, 14, 138, 101]

cp's OEIS Frontend

A057641 a(n) = floor(H(n) + exp(H(n))*log(H(n))) - sigma(n), where H(n) = Sum_{k=1..n} 1/k and sigma(n) (A000203) is the sum of the divisors of n.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	4
6	0
7	7
8	2
9	7
10	5
11	13
12	0
13	17
14	9
15	12
16	8
17	23
18	5
19	27
20	8
21	21
22	20
23	34
24	1
25	33
26	25
27	30
28	17
29	46
30	7
31	50
32	22
33	40
34	37
35	46
36	6
37	62
38	43
39	50
40	19
41	70
42	19
43	74
44	37
45	46
46	55
47	82
48	9
49	79
50	46
51	70
52	47
53	95
54	32
55	83
56	38
57	81
58	74
59	107
60	2
61	112
62	81
63	76
64	56
65	102
66	45
67	125
68	70
69	103
70	58
71	133
72	14
73	138
74	101

n	a(n)
1	0
2	0
3	1
4	0
5	4
6	0
7	7
8	2
9	7
10	5
11	13
12	0
13	17
14	9
15	12
16	8
17	23
18	5
19	27
20	8
21	21
22	20
23	34
24	1
25	33
26	25
27	30
28	17
29	46
30	7
31	50
32	22
33	40
34	37
35	46
36	6
37	62
38	43
39	50
40	19
41	70
42	19
43	74
44	37
45	46
46	55
47	82
48	9
49	79
50	46
51	70
52	47
53	95
54	32
55	83
56	38
57	81
58	74
59	107
60	2
61	112
62	81
63	76
64	56
65	102
66	45
67	125
68	70
69	103
70	58
71	133
72	14
73	138
74	101

n	a(n)
1	0
2	0
3	1
4	0
5	4
6	0
7	7
8	2
9	7
10	5
11	13
12	0
13	17
14	9
15	12
16	8
17	23
18	5
19	27
20	8
21	21
22	20
23	34
24	1
25	33
26	25
27	30
28	17
29	46
30	7
31	50
32	22
33	40
34	37
35	46
36	6
37	62
38	43
39	50
40	19
41	70
42	19
43	74
44	37
45	46
46	55
47	82
48	9
49	79
50	46
51	70
52	47
53	95
54	32
55	83
56	38
57	81
58	74
59	107
60	2
61	112
62	81
63	76
64	56
65	102
66	45
67	125
68	70
69	103
70	58
71	133
72	14
73	138
74	101