A125140 - cp's OEIS frontend

A125140 SEPSigma(n) = (-1)^(Sum_i r_i)Sum_{d|n} (-1)^(Sum_j Max(r_j))d = Product_i (Sum_{s_i=1..r_i} p_i^s_i)+(-1)^r_i where n = Product_i p_i^r_i, d = Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing n.

n	a(n)
1	1
2	1
3	2
4	7
5	4
6	2
7	6
8	13
9	13
10	4
11	10
12	14
13	12
14	6
15	8
16	31
17	16
18	13
19	18
20	28
21	12
22	10
23	22
24	26
25	31
26	12
27	38
28	42
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	91
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	70
45	52
46	22
47	46
48	62
49	57
50	31
51	32
52	84
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	56
61	60
62	30
63	78
64	127
65	48
66	20
67	66
68	112
69	44
70	24
71	70
72	169
73	72

[1, 1, 2, 7, 4, 2, 6, 13, 13, 4, 10, 14, 12, 6, 8, 31, 16, 13, 18, 28, 12, 10, 22, 26, 31, 12, 38, 42, 28, 8, 30, 61, 20, 16, 24, 91, 36, 18, 24, 52, 40, 12, 42, 70, 52, 22, 46, 62, 57, 31, 32, 84, 52, 38, 40, 78, 36, 28, 58, 56, 60, 30, 78, 127, 48, 20, 66, 112, 44, 24, 70, 169, 72]

cp's OEIS Frontend

A125140 SEPSigma(n) = (-1)^(Sum_i r_i)Sum_{d|n} (-1)^(Sum_j Max(r_j))d = Product_i (Sum_{s_i=1..r_i} p_i^s_i)+(-1)^r_i where n = Product_i p_i^r_i, d = Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing n.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	7
5	4
6	2
7	6
8	13
9	13
10	4
11	10
12	14
13	12
14	6
15	8
16	31
17	16
18	13
19	18
20	28
21	12
22	10
23	22
24	26
25	31
26	12
27	38
28	42
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	91
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	70
45	52
46	22
47	46
48	62
49	57
50	31
51	32
52	84
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	56
61	60
62	30
63	78
64	127
65	48
66	20
67	66
68	112
69	44
70	24
71	70
72	169
73	72

n	a(n)
1	1
2	1
3	2
4	7
5	4
6	2
7	6
8	13
9	13
10	4
11	10
12	14
13	12
14	6
15	8
16	31
17	16
18	13
19	18
20	28
21	12
22	10
23	22
24	26
25	31
26	12
27	38
28	42
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	91
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	70
45	52
46	22
47	46
48	62
49	57
50	31
51	32
52	84
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	56
61	60
62	30
63	78
64	127
65	48
66	20
67	66
68	112
69	44
70	24
71	70
72	169
73	72

cp's OEIS Frontend

A125140 SEPSigma(n) = (-1)^(Sum_i r_i)*Sum_{d|n} (-1)^(Sum_j Max(r_j))*d = Product_i (Sum_{s_i=1..r_i} p_i^s_i)+(-1)^r_i where n = Product_i p_i^r_i, d = Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing n.

Table of values

List of values

A125140 SEPSigma(n) = (-1)^(Sum_i r_i)Sum_{d|n} (-1)^(Sum_j Max(r_j))d = Product_i (Sum_{s_i=1..r_i} p_i^s_i)+(-1)^r_i where n = Product_i p_i^r_i, d = Product_j p_j^r_j, p_j^max(r_j) is the largest power of p_j dividing n.

n	a(n)
1	1
2	1
3	2
4	7
5	4
6	2
7	6
8	13
9	13
10	4
11	10
12	14
13	12
14	6
15	8
16	31
17	16
18	13
19	18
20	28
21	12
22	10
23	22
24	26
25	31
26	12
27	38
28	42
29	28
30	8
31	30
32	61
33	20
34	16
35	24
36	91
37	36
38	18
39	24
40	52
41	40
42	12
43	42
44	70
45	52
46	22
47	46
48	62
49	57
50	31
51	32
52	84
53	52
54	38
55	40
56	78
57	36
58	28
59	58
60	56
61	60
62	30
63	78
64	127
65	48
66	20
67	66
68	112
69	44
70	24
71	70
72	169
73	72