A367167 - cp's OEIS frontend

A367167 Let Product_{i = 1..omega(n)} p_i^e_i be the prime factorization of n. Then a(n) = Sum_{i = 1..omega(n)} Product_{j = 1..n} p_i^(e_((i+j-1) mod omega(n) + 1)).

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	9
10	20
11	11
12	30
13	13
14	28
15	30
16	16
17	17
18	30
19	19
20	70
21	42
22	44
23	23
24	78
25	25
26	52
27	27
28	126
29	29
30	90
31	31
32	32
33	66
34	68
35	70
36	72
37	37
38	76
39	78
40	290
41	41
42	126
43	43
44	286
45	120
46	92
47	47
48	210
49	49
50	70
51	102
52	390
53	53
54	78
55	110
56	742
57	114
58	116
59	59
60	300
61	61
62	124
63	210
64	64
65	130

[0, 2, 3, 4, 5, 12, 7, 8, 9, 20, 11, 30, 13, 28, 30, 16, 17, 30, 19, 70, 42, 44, 23, 78, 25, 52, 27, 126, 29, 90, 31, 32, 66, 68, 70, 72, 37, 76, 78, 290, 41, 126, 43, 286, 120, 92, 47, 210, 49, 70, 102, 390, 53, 78, 110, 742, 114, 116, 59, 300, 61, 124, 210, 64, 130]

cp's OEIS Frontend

A367167 Let Product_{i = 1..omega(n)} p_i^e_i be the prime factorization of n. Then a(n) = Sum_{i = 1..omega(n)} Product_{j = 1..n} p_i^(e_((i+j-1) mod omega(n) + 1)).

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	9
10	20
11	11
12	30
13	13
14	28
15	30
16	16
17	17
18	30
19	19
20	70
21	42
22	44
23	23
24	78
25	25
26	52
27	27
28	126
29	29
30	90
31	31
32	32
33	66
34	68
35	70
36	72
37	37
38	76
39	78
40	290
41	41
42	126
43	43
44	286
45	120
46	92
47	47
48	210
49	49
50	70
51	102
52	390
53	53
54	78
55	110
56	742
57	114
58	116
59	59
60	300
61	61
62	124
63	210
64	64
65	130

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	9
10	20
11	11
12	30
13	13
14	28
15	30
16	16
17	17
18	30
19	19
20	70
21	42
22	44
23	23
24	78
25	25
26	52
27	27
28	126
29	29
30	90
31	31
32	32
33	66
34	68
35	70
36	72
37	37
38	76
39	78
40	290
41	41
42	126
43	43
44	286
45	120
46	92
47	47
48	210
49	49
50	70
51	102
52	390
53	53
54	78
55	110
56	742
57	114
58	116
59	59
60	300
61	61
62	124
63	210
64	64
65	130

n	a(n)
1	0
2	2
3	3
4	4
5	5
6	12
7	7
8	8
9	9
10	20
11	11
12	30
13	13
14	28
15	30
16	16
17	17
18	30
19	19
20	70
21	42
22	44
23	23
24	78
25	25
26	52
27	27
28	126
29	29
30	90
31	31
32	32
33	66
34	68
35	70
36	72
37	37
38	76
39	78
40	290
41	41
42	126
43	43
44	286
45	120
46	92
47	47
48	210
49	49
50	70
51	102
52	390
53	53
54	78
55	110
56	742
57	114
58	116
59	59
60	300
61	61
62	124
63	210
64	64
65	130