A212643 - cp's OEIS frontend

A212643 Let b(n) and c(n) be the total numbers of distinct prime signatures and second signatures, respectively, represented among divisors of A181800(n) (first integers of each second signature; cf. A212172). b(n) mod c(n) = a(n).

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

[0, 1, 1, 1, 1, 0, 1, 4, 1, 5, 4, 1, 6, 5, 1, 7, 6, 2, 1, 8, 5, 7, 2, 1, 9, 6, 8, 2, 1, 10, 7, 1, 9, 2, 6, 1, 11, 8, 0, 10, 2, 7, 1, 12, 9, 18, 0, 11, 2, 8, 15, 1, 13, 10, 22, 0, 7, 14, 12, 2, 9, 20, 1, 14, 11, 26, 7, 8, 18, 13, 2, 10, 25, 1, 15, 15, 12, 30, 9]

cp's OEIS Frontend

A212643 Let b(n) and c(n) be the total numbers of distinct prime signatures and second signatures, respectively, represented among divisors of A181800(n) (first integers of each second signature; cf. A212172). b(n) mod c(n) = a(n).

Table of values

List of values

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

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

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