A331383 - cp's OEIS frontend

A331383 Number of integer partitions of n whose sum of primes of parts is equal to their product of parts.

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

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

cp's OEIS Frontend

A331383 Number of integer partitions of n whose sum of primes of parts is equal to their product of parts.

Table of values

List of values

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

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

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