A300833 - cp's OEIS frontend

A300833 Filter sequence combining A300830(n), A300831(n) and A300832(n), three products formed from such proper divisors d of n for which mu(n/d) = 0, +1 or -1 respectively, where mu is Möbius mu function (A008683).

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	5
9	6
10	7
11	2
12	8
13	2
14	9
15	10
16	11
17	2
18	12
19	2
20	13
21	14
22	15
23	2
24	16
25	17
26	18
27	19
28	20
29	2
30	21
31	2
32	22
33	23
34	24
35	25
36	26
37	2
38	27
39	28
40	29
41	2
42	30
43	2
44	31
45	32
46	33
47	2
48	34
49	35
50	36
51	37
52	38
53	2
54	39
55	28
56	40
57	41
58	42
59	2
60	43
61	2
62	44
63	45
64	46
65	47
66	48
67	2
68	49
69	50
70	51
71	2
72	52
73	2
74	53
75	54
76	55
77	56
78	57
79	2
80	58
81	59
82	60
83	2
84	61
85	62
86	63
87	64
88	65
89	2
90	66
91	67
92	68
93	69
94	70

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

cp's OEIS Frontend

A300833 Filter sequence combining A300830(n), A300831(n) and A300832(n), three products formed from such proper divisors d of n for which mu(n/d) = 0, +1 or -1 respectively, where mu is Möbius mu function (A008683).

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	5
9	6
10	7
11	2
12	8
13	2
14	9
15	10
16	11
17	2
18	12
19	2
20	13
21	14
22	15
23	2
24	16
25	17
26	18
27	19
28	20
29	2
30	21
31	2
32	22
33	23
34	24
35	25
36	26
37	2
38	27
39	28
40	29
41	2
42	30
43	2
44	31
45	32
46	33
47	2
48	34
49	35
50	36
51	37
52	38
53	2
54	39
55	28
56	40
57	41
58	42
59	2
60	43
61	2
62	44
63	45
64	46
65	47
66	48
67	2
68	49
69	50
70	51
71	2
72	52
73	2
74	53
75	54
76	55
77	56
78	57
79	2
80	58
81	59
82	60
83	2
84	61
85	62
86	63
87	64
88	65
89	2
90	66
91	67
92	68
93	69
94	70

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	5
9	6
10	7
11	2
12	8
13	2
14	9
15	10
16	11
17	2
18	12
19	2
20	13
21	14
22	15
23	2
24	16
25	17
26	18
27	19
28	20
29	2
30	21
31	2
32	22
33	23
34	24
35	25
36	26
37	2
38	27
39	28
40	29
41	2
42	30
43	2
44	31
45	32
46	33
47	2
48	34
49	35
50	36
51	37
52	38
53	2
54	39
55	28
56	40
57	41
58	42
59	2
60	43
61	2
62	44
63	45
64	46
65	47
66	48
67	2
68	49
69	50
70	51
71	2
72	52
73	2
74	53
75	54
76	55
77	56
78	57
79	2
80	58
81	59
82	60
83	2
84	61
85	62
86	63
87	64
88	65
89	2
90	66
91	67
92	68
93	69
94	70

n	a(n)
1	1
2	2
3	2
4	3
5	2
6	4
7	2
8	5
9	6
10	7
11	2
12	8
13	2
14	9
15	10
16	11
17	2
18	12
19	2
20	13
21	14
22	15
23	2
24	16
25	17
26	18
27	19
28	20
29	2
30	21
31	2
32	22
33	23
34	24
35	25
36	26
37	2
38	27
39	28
40	29
41	2
42	30
43	2
44	31
45	32
46	33
47	2
48	34
49	35
50	36
51	37
52	38
53	2
54	39
55	28
56	40
57	41
58	42
59	2
60	43
61	2
62	44
63	45
64	46
65	47
66	48
67	2
68	49
69	50
70	51
71	2
72	52
73	2
74	53
75	54
76	55
77	56
78	57
79	2
80	58
81	59
82	60
83	2
84	61
85	62
86	63
87	64
88	65
89	2
90	66
91	67
92	68
93	69
94	70