A178830 - cp's OEIS frontend

A178830 Number of distinct partitions of {1,...,n} into two nonempty sets P and S with the product of the elements of P equal to the sum of elements in S.

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

[0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 1, 3, 3, 3, 3, 1, 4, 4, 3, 2, 2, 4, 3, 5, 3, 2, 4, 5, 4, 5, 6, 1, 4, 2, 5, 4, 7, 4, 4, 3, 3, 6, 14, 3, 4, 10, 6, 3, 6, 4, 4, 4, 8, 7, 6, 8, 7, 10, 5, 11, 8, 5, 11, 4, 7, 7, 5, 8, 12, 5, 6, 9, 8, 11, 8, 5, 8, 9, 8, 10, 8, 12, 7, 11, 8, 7, 7, 8, 6, 7, 8, 11, 8, 16, 9, 12, 13, 8]

cp's OEIS Frontend

A178830 Number of distinct partitions of {1,...,n} into two nonempty sets P and S with the product of the elements of P equal to the sum of elements in S.

Table of values

List of values

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

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

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