A171453 - cp's OEIS frontend

A171453 a(n) = sum_i p_i^(e_i-1) where n = product_i p_i^e_i is the prime number decomposition of n.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	4
9	3
10	2
11	1
12	3
13	1
14	2
15	2
16	8
17	1
18	4
19	1
20	3
21	2
22	2
23	1
24	5
25	5
26	2
27	9
28	3
29	1
30	3
31	1
32	16
33	2
34	2
35	2
36	5
37	1
38	2
39	2
40	5
41	1
42	3
43	1
44	3
45	4
46	2
47	1
48	9
49	7
50	6
51	2
52	3
53	1
54	10
55	2
56	5
57	2
58	2
59	1
60	4
61	1
62	2
63	4
64	32
65	2
66	3
67	1
68	3
69	2
70	3
71	1
72	7
73	1
74	2
75	6
76	3
77	2
78	3
79	1
80	9
81	27
82	2
83	1
84	4
85	2
86	2
87	2
88	5
89	1
90	5
91	2
92	3
93	2
94	2
95	2
96	17
97	1
98	8
99	4
100	7

[0, 1, 1, 2, 1, 2, 1, 4, 3, 2, 1, 3, 1, 2, 2, 8, 1, 4, 1, 3, 2, 2, 1, 5, 5, 2, 9, 3, 1, 3, 1, 16, 2, 2, 2, 5, 1, 2, 2, 5, 1, 3, 1, 3, 4, 2, 1, 9, 7, 6, 2, 3, 1, 10, 2, 5, 2, 2, 1, 4, 1, 2, 4, 32, 2, 3, 1, 3, 2, 3, 1, 7, 1, 2, 6, 3, 2, 3, 1, 9, 27, 2, 1, 4, 2, 2, 2, 5, 1, 5, 2, 3, 2, 2, 2, 17, 1, 8, 4, 7]

cp's OEIS Frontend

A171453 a(n) = sum_i p_i^(e_i-1) where n = product_i p_i^e_i is the prime number decomposition of n.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	4
9	3
10	2
11	1
12	3
13	1
14	2
15	2
16	8
17	1
18	4
19	1
20	3
21	2
22	2
23	1
24	5
25	5
26	2
27	9
28	3
29	1
30	3
31	1
32	16
33	2
34	2
35	2
36	5
37	1
38	2
39	2
40	5
41	1
42	3
43	1
44	3
45	4
46	2
47	1
48	9
49	7
50	6
51	2
52	3
53	1
54	10
55	2
56	5
57	2
58	2
59	1
60	4
61	1
62	2
63	4
64	32
65	2
66	3
67	1
68	3
69	2
70	3
71	1
72	7
73	1
74	2
75	6
76	3
77	2
78	3
79	1
80	9
81	27
82	2
83	1
84	4
85	2
86	2
87	2
88	5
89	1
90	5
91	2
92	3
93	2
94	2
95	2
96	17
97	1
98	8
99	4
100	7

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	4
9	3
10	2
11	1
12	3
13	1
14	2
15	2
16	8
17	1
18	4
19	1
20	3
21	2
22	2
23	1
24	5
25	5
26	2
27	9
28	3
29	1
30	3
31	1
32	16
33	2
34	2
35	2
36	5
37	1
38	2
39	2
40	5
41	1
42	3
43	1
44	3
45	4
46	2
47	1
48	9
49	7
50	6
51	2
52	3
53	1
54	10
55	2
56	5
57	2
58	2
59	1
60	4
61	1
62	2
63	4
64	32
65	2
66	3
67	1
68	3
69	2
70	3
71	1
72	7
73	1
74	2
75	6
76	3
77	2
78	3
79	1
80	9
81	27
82	2
83	1
84	4
85	2
86	2
87	2
88	5
89	1
90	5
91	2
92	3
93	2
94	2
95	2
96	17
97	1
98	8
99	4
100	7

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	4
9	3
10	2
11	1
12	3
13	1
14	2
15	2
16	8
17	1
18	4
19	1
20	3
21	2
22	2
23	1
24	5
25	5
26	2
27	9
28	3
29	1
30	3
31	1
32	16
33	2
34	2
35	2
36	5
37	1
38	2
39	2
40	5
41	1
42	3
43	1
44	3
45	4
46	2
47	1
48	9
49	7
50	6
51	2
52	3
53	1
54	10
55	2
56	5
57	2
58	2
59	1
60	4
61	1
62	2
63	4
64	32
65	2
66	3
67	1
68	3
69	2
70	3
71	1
72	7
73	1
74	2
75	6
76	3
77	2
78	3
79	1
80	9
81	27
82	2
83	1
84	4
85	2
86	2
87	2
88	5
89	1
90	5
91	2
92	3
93	2
94	2
95	2
96	17
97	1
98	8
99	4
100	7