A126851 - cp's OEIS frontend

A126851 SPM4Sigma(n) = (-1)^(1/2((Sum_i p_i)-Omega(m'))Sum_{d|n} (-1)^(1/2((Sum_j p_j)-Omega(d'))d =(2^(r+1)-1)Product_i [Sum_{1<=s_i<=r_i} p_i^s_i +(-1)^((p_i-1)/2)] where n=2^rm', gcd(2,m')=1, m'=Product_i p_i^r_i, d=2^k*d', gcd(2,d')=1, d'=Product_j p_j^r_j SPM4 for Signed by Prime factors Mod 4.

n	a(n)
1	1
2	3
3	2
4	7
5	6
6	6
7	6
8	15
9	11
10	18
11	10
12	14
13	14
14	18
15	12
16	31
17	18
18	33
19	18
20	42
21	12
22	30
23	22
24	30
25	31
26	42
27	38
28	42
29	30
30	36
31	30
32	63
33	20
34	54
35	36
36	77
37	38
38	54
39	28
40	90
41	42
42	36
43	42
44	70
45	66
46	66
47	46
48	62
49	55
50	93
51	36
52	98
53	54
54	114
55	60
56	90
57	36
58	90
59	58
60	84
61	62
62	90
63	66
64	127
65	84
66	60
67	66
68	126
69	44
70	108
71	70
72	165
73	74
74	114
75	62
76	126
77	60
78	84
79	78
80	186

[1, 3, 2, 7, 6, 6, 6, 15, 11, 18, 10, 14, 14, 18, 12, 31, 18, 33, 18, 42, 12, 30, 22, 30, 31, 42, 38, 42, 30, 36, 30, 63, 20, 54, 36, 77, 38, 54, 28, 90, 42, 36, 42, 70, 66, 66, 46, 62, 55, 93, 36, 98, 54, 114, 60, 90, 36, 90, 58, 84, 62, 90, 66, 127, 84, 60, 66, 126, 44, 108, 70, 165, 74, 114, 62, 126, 60, 84, 78, 186]

cp's OEIS Frontend

A126851 SPM4Sigma(n) = (-1)^(1/2((Sum_i p_i)-Omega(m'))Sum_{d|n} (-1)^(1/2((Sum_j p_j)-Omega(d'))d =(2^(r+1)-1)Product_i [Sum_{1<=s_i<=r_i} p_i^s_i +(-1)^((p_i-1)/2)] where n=2^rm', gcd(2,m')=1, m'=Product_i p_i^r_i, d=2^k*d', gcd(2,d')=1, d'=Product_j p_j^r_j SPM4 for Signed by Prime factors Mod 4.

Table of values

List of values

n	a(n)
1	1
2	3
3	2
4	7
5	6
6	6
7	6
8	15
9	11
10	18
11	10
12	14
13	14
14	18
15	12
16	31
17	18
18	33
19	18
20	42
21	12
22	30
23	22
24	30
25	31
26	42
27	38
28	42
29	30
30	36
31	30
32	63
33	20
34	54
35	36
36	77
37	38
38	54
39	28
40	90
41	42
42	36
43	42
44	70
45	66
46	66
47	46
48	62
49	55
50	93
51	36
52	98
53	54
54	114
55	60
56	90
57	36
58	90
59	58
60	84
61	62
62	90
63	66
64	127
65	84
66	60
67	66
68	126
69	44
70	108
71	70
72	165
73	74
74	114
75	62
76	126
77	60
78	84
79	78
80	186

n	a(n)
1	1
2	3
3	2
4	7
5	6
6	6
7	6
8	15
9	11
10	18
11	10
12	14
13	14
14	18
15	12
16	31
17	18
18	33
19	18
20	42
21	12
22	30
23	22
24	30
25	31
26	42
27	38
28	42
29	30
30	36
31	30
32	63
33	20
34	54
35	36
36	77
37	38
38	54
39	28
40	90
41	42
42	36
43	42
44	70
45	66
46	66
47	46
48	62
49	55
50	93
51	36
52	98
53	54
54	114
55	60
56	90
57	36
58	90
59	58
60	84
61	62
62	90
63	66
64	127
65	84
66	60
67	66
68	126
69	44
70	108
71	70
72	165
73	74
74	114
75	62
76	126
77	60
78	84
79	78
80	186

n	a(n)
1	1
2	3
3	2
4	7
5	6
6	6
7	6
8	15
9	11
10	18
11	10
12	14
13	14
14	18
15	12
16	31
17	18
18	33
19	18
20	42
21	12
22	30
23	22
24	30
25	31
26	42
27	38
28	42
29	30
30	36
31	30
32	63
33	20
34	54
35	36
36	77
37	38
38	54
39	28
40	90
41	42
42	36
43	42
44	70
45	66
46	66
47	46
48	62
49	55
50	93
51	36
52	98
53	54
54	114
55	60
56	90
57	36
58	90
59	58
60	84
61	62
62	90
63	66
64	127
65	84
66	60
67	66
68	126
69	44
70	108
71	70
72	165
73	74
74	114
75	62
76	126
77	60
78	84
79	78
80	186