A093321 - cp's OEIS frontend

A093321 a(1) = 1; for m >= 2, a(m) =sum_{primes p which do not divide m} a(pi(p)), where pi(p) is the order of p among the primes = the number of primes <= p.

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	2
8	1
9	2
10	0
11	2
12	2
13	3
14	3
15	3
16	3
17	4
18	5
19	6
20	5
21	7
22	5
23	7
24	8
25	8
26	7
27	9
28	8
29	9
30	7
31	9
32	10
33	10
34	8
35	10
36	10
37	11
38	11
39	12
40	11
41	13
42	15
43	16
44	17
45	18
46	16
47	19
48	21
49	22
50	20
51	20
52	20
53	22
54	24
55	23
56	24
57	24
58	24
59	25
60	27
61	29
62	31
63	34
64	33
65	32
66	32
67	34
68	37
69	38
70	38
71	40
72	44
73	45
74	49
75	51
76	50
77	51
78	50
79	52
80	55

[1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 3, 3, 3, 3, 4, 5, 6, 5, 7, 5, 7, 8, 8, 7, 9, 8, 9, 7, 9, 10, 10, 8, 10, 10, 11, 11, 12, 11, 13, 15, 16, 17, 18, 16, 19, 21, 22, 20, 20, 20, 22, 24, 23, 24, 24, 24, 25, 27, 29, 31, 34, 33, 32, 32, 34, 37, 38, 38, 40, 44, 45, 49, 51, 50, 51, 50, 52, 55]

cp's OEIS Frontend

A093321 a(1) = 1; for m >= 2, a(m) =sum_{primes p which do not divide m} a(pi(p)), where pi(p) is the order of p among the primes = the number of primes <= p.

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	2
8	1
9	2
10	0
11	2
12	2
13	3
14	3
15	3
16	3
17	4
18	5
19	6
20	5
21	7
22	5
23	7
24	8
25	8
26	7
27	9
28	8
29	9
30	7
31	9
32	10
33	10
34	8
35	10
36	10
37	11
38	11
39	12
40	11
41	13
42	15
43	16
44	17
45	18
46	16
47	19
48	21
49	22
50	20
51	20
52	20
53	22
54	24
55	23
56	24
57	24
58	24
59	25
60	27
61	29
62	31
63	34
64	33
65	32
66	32
67	34
68	37
69	38
70	38
71	40
72	44
73	45
74	49
75	51
76	50
77	51
78	50
79	52
80	55

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	2
8	1
9	2
10	0
11	2
12	2
13	3
14	3
15	3
16	3
17	4
18	5
19	6
20	5
21	7
22	5
23	7
24	8
25	8
26	7
27	9
28	8
29	9
30	7
31	9
32	10
33	10
34	8
35	10
36	10
37	11
38	11
39	12
40	11
41	13
42	15
43	16
44	17
45	18
46	16
47	19
48	21
49	22
50	20
51	20
52	20
53	22
54	24
55	23
56	24
57	24
58	24
59	25
60	27
61	29
62	31
63	34
64	33
65	32
66	32
67	34
68	37
69	38
70	38
71	40
72	44
73	45
74	49
75	51
76	50
77	51
78	50
79	52
80	55

n	a(n)
1	1
2	0
3	1
4	0
5	1
6	1
7	2
8	1
9	2
10	0
11	2
12	2
13	3
14	3
15	3
16	3
17	4
18	5
19	6
20	5
21	7
22	5
23	7
24	8
25	8
26	7
27	9
28	8
29	9
30	7
31	9
32	10
33	10
34	8
35	10
36	10
37	11
38	11
39	12
40	11
41	13
42	15
43	16
44	17
45	18
46	16
47	19
48	21
49	22
50	20
51	20
52	20
53	22
54	24
55	23
56	24
57	24
58	24
59	25
60	27
61	29
62	31
63	34
64	33
65	32
66	32
67	34
68	37
69	38
70	38
71	40
72	44
73	45
74	49
75	51
76	50
77	51
78	50
79	52
80	55