A093320 - cp's OEIS frontend

A093320 a(1) = 1; for m >= 2, a(m) = sum{p|m} a(pi(p)), where the sum is over the distinct prime divisors p of m and pi(p) is the order of p among the primes = the number of primes <= p.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	1
12	2
13	2
14	2
15	2
16	1
17	1
18	2
19	1
20	2
21	2
22	2
23	1
24	2
25	1
26	3
27	1
28	2
29	2
30	3
31	1
32	1
33	2
34	2
35	2
36	2
37	2
38	2
39	3
40	2
41	2
42	3
43	2
44	2
45	2
46	2
47	2
48	2
49	1
50	2
51	2
52	3
53	1
54	2
55	2
56	2
57	2
58	3
59	1
60	3
61	2
62	2
63	2
64	1
65	3
66	3
67	1
68	2
69	2
70	3
71	2
72	2
73	2
74	3
75	2
76	2
77	2
78	4
79	2
80	2
81	1
82	3
83	1
84	3
85	2
86	3
87	3
88	2
89	2
90	3
91	3
92	2
93	2
94	3
95	2
96	2
97	1
98	2
99	2
100	2
101	3
102	3
103	1
104	3
105	3

[1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 3, 1, 2, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 1, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 4, 2, 2, 1, 3, 1, 3, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 2, 2, 1, 2, 2, 2, 3, 3, 1, 3, 3]

cp's OEIS Frontend

A093320 a(1) = 1; for m >= 2, a(m) = sum{p|m} a(pi(p)), where the sum is over the distinct prime divisors p of m and 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	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	1
12	2
13	2
14	2
15	2
16	1
17	1
18	2
19	1
20	2
21	2
22	2
23	1
24	2
25	1
26	3
27	1
28	2
29	2
30	3
31	1
32	1
33	2
34	2
35	2
36	2
37	2
38	2
39	3
40	2
41	2
42	3
43	2
44	2
45	2
46	2
47	2
48	2
49	1
50	2
51	2
52	3
53	1
54	2
55	2
56	2
57	2
58	3
59	1
60	3
61	2
62	2
63	2
64	1
65	3
66	3
67	1
68	2
69	2
70	3
71	2
72	2
73	2
74	3
75	2
76	2
77	2
78	4
79	2
80	2
81	1
82	3
83	1
84	3
85	2
86	3
87	3
88	2
89	2
90	3
91	3
92	2
93	2
94	3
95	2
96	2
97	1
98	2
99	2
100	2
101	3
102	3
103	1
104	3
105	3

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	1
12	2
13	2
14	2
15	2
16	1
17	1
18	2
19	1
20	2
21	2
22	2
23	1
24	2
25	1
26	3
27	1
28	2
29	2
30	3
31	1
32	1
33	2
34	2
35	2
36	2
37	2
38	2
39	3
40	2
41	2
42	3
43	2
44	2
45	2
46	2
47	2
48	2
49	1
50	2
51	2
52	3
53	1
54	2
55	2
56	2
57	2
58	3
59	1
60	3
61	2
62	2
63	2
64	1
65	3
66	3
67	1
68	2
69	2
70	3
71	2
72	2
73	2
74	3
75	2
76	2
77	2
78	4
79	2
80	2
81	1
82	3
83	1
84	3
85	2
86	3
87	3
88	2
89	2
90	3
91	3
92	2
93	2
94	3
95	2
96	2
97	1
98	2
99	2
100	2
101	3
102	3
103	1
104	3
105	3

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	1
10	2
11	1
12	2
13	2
14	2
15	2
16	1
17	1
18	2
19	1
20	2
21	2
22	2
23	1
24	2
25	1
26	3
27	1
28	2
29	2
30	3
31	1
32	1
33	2
34	2
35	2
36	2
37	2
38	2
39	3
40	2
41	2
42	3
43	2
44	2
45	2
46	2
47	2
48	2
49	1
50	2
51	2
52	3
53	1
54	2
55	2
56	2
57	2
58	3
59	1
60	3
61	2
62	2
63	2
64	1
65	3
66	3
67	1
68	2
69	2
70	3
71	2
72	2
73	2
74	3
75	2
76	2
77	2
78	4
79	2
80	2
81	1
82	3
83	1
84	3
85	2
86	3
87	3
88	2
89	2
90	3
91	3
92	2
93	2
94	3
95	2
96	2
97	1
98	2
99	2
100	2
101	3
102	3
103	1
104	3
105	3