A069016 - cp's OEIS frontend

A069016 Look at all the different ways to factorize n as a product of numbers bigger than 1, and for each factorization write down the sum of the factors; a(n) = number of different sums.

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

[1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 1, 4, 1, 3, 2, 2, 1, 5, 2, 2, 3, 3, 1, 5, 1, 4, 2, 2, 2, 7, 1, 2, 2, 5, 1, 5, 1, 3, 4, 2, 1, 8, 2, 4, 2, 3, 1, 7, 2, 5, 2, 2, 1, 9, 1, 2, 4, 6, 2, 5, 1, 3, 2, 5, 1, 10, 1, 2, 4, 3, 2, 5, 1, 8, 5, 2, 1, 8, 2, 2, 2, 5, 1, 10, 2, 3, 2, 2, 2, 12, 1, 4, 4, 7, 1, 5, 1]

cp's OEIS Frontend

A069016 Look at all the different ways to factorize n as a product of numbers bigger than 1, and for each factorization write down the sum of the factors; a(n) = number of different sums.

Table of values

List of values

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

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

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