A054725 - cp's OEIS frontend

A054725 a(1)=1; a(n) = Sum_{p | n} e * a(p-1), where sum is over all primes p that divide n, and e is the multiplicity of p in n.

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

[1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 4, 6, 6, 5, 6, 5, 5, 6, 6, 5, 5, 6, 5, 6, 5, 6, 6, 5, 5, 6, 6, 6, 6, 6]

cp's OEIS Frontend

A054725 a(1)=1; a(n) = Sum_{p | n} e * a(p-1), where sum is over all primes p that divide n, and e is the multiplicity of p in n.

Table of values

List of values

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

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

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