A069201 - cp's OEIS frontend

A069201 a(n) = Sum_{k=1..n} mu(k)^2 * 2^omega(k) where omega(k) is the number of distinct primes in the factorization of k.

n	a(n)
1	1
2	3
3	5
4	5
5	7
6	11
7	13
8	13
9	13
10	17
11	19
12	19
13	21
14	25
15	29
16	29
17	31
18	31
19	33
20	33
21	37
22	41
23	43
24	43
25	43
26	47
27	47
28	47
29	49
30	57
31	59
32	59
33	63
34	67
35	71
36	71
37	73
38	77
39	81
40	81
41	83
42	91
43	93
44	93
45	93
46	97
47	99
48	99
49	99
50	99
51	103
52	103
53	105
54	105
55	109
56	109
57	113
58	117
59	119
60	119
61	121
62	125
63	125
64	125
65	129
66	137

[1, 3, 5, 5, 7, 11, 13, 13, 13, 17, 19, 19, 21, 25, 29, 29, 31, 31, 33, 33, 37, 41, 43, 43, 43, 47, 47, 47, 49, 57, 59, 59, 63, 67, 71, 71, 73, 77, 81, 81, 83, 91, 93, 93, 93, 97, 99, 99, 99, 99, 103, 103, 105, 105, 109, 109, 113, 117, 119, 119, 121, 125, 125, 125, 129, 137]

cp's OEIS Frontend

A069201 a(n) = Sum_{k=1..n} mu(k)^2 * 2^omega(k) where omega(k) is the number of distinct primes in the factorization of k.

Table of values

List of values

n	a(n)
1	1
2	3
3	5
4	5
5	7
6	11
7	13
8	13
9	13
10	17
11	19
12	19
13	21
14	25
15	29
16	29
17	31
18	31
19	33
20	33
21	37
22	41
23	43
24	43
25	43
26	47
27	47
28	47
29	49
30	57
31	59
32	59
33	63
34	67
35	71
36	71
37	73
38	77
39	81
40	81
41	83
42	91
43	93
44	93
45	93
46	97
47	99
48	99
49	99
50	99
51	103
52	103
53	105
54	105
55	109
56	109
57	113
58	117
59	119
60	119
61	121
62	125
63	125
64	125
65	129
66	137

n	a(n)
1	1
2	3
3	5
4	5
5	7
6	11
7	13
8	13
9	13
10	17
11	19
12	19
13	21
14	25
15	29
16	29
17	31
18	31
19	33
20	33
21	37
22	41
23	43
24	43
25	43
26	47
27	47
28	47
29	49
30	57
31	59
32	59
33	63
34	67
35	71
36	71
37	73
38	77
39	81
40	81
41	83
42	91
43	93
44	93
45	93
46	97
47	99
48	99
49	99
50	99
51	103
52	103
53	105
54	105
55	109
56	109
57	113
58	117
59	119
60	119
61	121
62	125
63	125
64	125
65	129
66	137

n	a(n)
1	1
2	3
3	5
4	5
5	7
6	11
7	13
8	13
9	13
10	17
11	19
12	19
13	21
14	25
15	29
16	29
17	31
18	31
19	33
20	33
21	37
22	41
23	43
24	43
25	43
26	47
27	47
28	47
29	49
30	57
31	59
32	59
33	63
34	67
35	71
36	71
37	73
38	77
39	81
40	81
41	83
42	91
43	93
44	93
45	93
46	97
47	99
48	99
49	99
50	99
51	103
52	103
53	105
54	105
55	109
56	109
57	113
58	117
59	119
60	119
61	121
62	125
63	125
64	125
65	129
66	137