A168066 - cp's OEIS frontend

A168066 If n = Product p(k)^e(k) then a(n) = (Product (p(k)+1)^e(k) - Product (p(k)-1)^e(k))/2, a(1) = 0.

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	13
9	6
10	7
11	1
12	17
13	1
14	9
15	8
16	40
17	1
18	22
19	1
20	25
21	10
22	13
23	1
24	53
25	10
26	15
27	28
28	33
29	1
30	32
31	1
32	121
33	14
34	19
35	12
36	70
37	1
38	21
39	16
40	79
41	1
42	42
43	1
44	49
45	40
46	25
47	1
48	161
49	14
50	46
51	20
52	57
53	1
54	92
55	16
56	105
57	22
58	31
59	1
60	104
61	1
62	33
63	52
64	364
65	18
66	62
67	1
68	73
69	26
70	60
71	1
72	214
73	1
74	39
75	56
76	81
77	18
78	72

[0, 1, 1, 4, 1, 5, 1, 13, 6, 7, 1, 17, 1, 9, 8, 40, 1, 22, 1, 25, 10, 13, 1, 53, 10, 15, 28, 33, 1, 32, 1, 121, 14, 19, 12, 70, 1, 21, 16, 79, 1, 42, 1, 49, 40, 25, 1, 161, 14, 46, 20, 57, 1, 92, 16, 105, 22, 31, 1, 104, 1, 33, 52, 364, 18, 62, 1, 73, 26, 60, 1, 214, 1, 39, 56, 81, 18, 72]

cp's OEIS Frontend

A168066 If n = Product p(k)^e(k) then a(n) = (Product (p(k)+1)^e(k) - Product (p(k)-1)^e(k))/2, a(1) = 0.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	13
9	6
10	7
11	1
12	17
13	1
14	9
15	8
16	40
17	1
18	22
19	1
20	25
21	10
22	13
23	1
24	53
25	10
26	15
27	28
28	33
29	1
30	32
31	1
32	121
33	14
34	19
35	12
36	70
37	1
38	21
39	16
40	79
41	1
42	42
43	1
44	49
45	40
46	25
47	1
48	161
49	14
50	46
51	20
52	57
53	1
54	92
55	16
56	105
57	22
58	31
59	1
60	104
61	1
62	33
63	52
64	364
65	18
66	62
67	1
68	73
69	26
70	60
71	1
72	214
73	1
74	39
75	56
76	81
77	18
78	72

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	13
9	6
10	7
11	1
12	17
13	1
14	9
15	8
16	40
17	1
18	22
19	1
20	25
21	10
22	13
23	1
24	53
25	10
26	15
27	28
28	33
29	1
30	32
31	1
32	121
33	14
34	19
35	12
36	70
37	1
38	21
39	16
40	79
41	1
42	42
43	1
44	49
45	40
46	25
47	1
48	161
49	14
50	46
51	20
52	57
53	1
54	92
55	16
56	105
57	22
58	31
59	1
60	104
61	1
62	33
63	52
64	364
65	18
66	62
67	1
68	73
69	26
70	60
71	1
72	214
73	1
74	39
75	56
76	81
77	18
78	72

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	5
7	1
8	13
9	6
10	7
11	1
12	17
13	1
14	9
15	8
16	40
17	1
18	22
19	1
20	25
21	10
22	13
23	1
24	53
25	10
26	15
27	28
28	33
29	1
30	32
31	1
32	121
33	14
34	19
35	12
36	70
37	1
38	21
39	16
40	79
41	1
42	42
43	1
44	49
45	40
46	25
47	1
48	161
49	14
50	46
51	20
52	57
53	1
54	92
55	16
56	105
57	22
58	31
59	1
60	104
61	1
62	33
63	52
64	364
65	18
66	62
67	1
68	73
69	26
70	60
71	1
72	214
73	1
74	39
75	56
76	81
77	18
78	72