A213237 - cp's OEIS frontend

A213237 Number of distinct values v satisfying v = sum of elements in S = product of elements in P for any partition of {1,...,n} into two sets S and P.

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

[1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 3, 2, 3, 1, 2, 3, 3, 2, 2, 4, 3, 5, 3, 2, 3, 3, 4, 4, 5, 1, 3, 2, 4, 4, 6, 3, 3, 2, 3, 4, 9, 3, 4, 9, 4, 3, 5, 4, 4, 4, 6, 6, 5, 5, 4, 7, 4, 8, 6, 4, 7, 3, 6, 5, 3, 4, 6, 5, 4, 6, 6, 5, 7, 4, 6, 9, 7, 6, 6, 8, 4, 7, 5]

cp's OEIS Frontend

A213237 Number of distinct values v satisfying v = sum of elements in S = product of elements in P for any partition of {1,...,n} into two sets S and P.

Table of values

List of values

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

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

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