A319916 - cp's OEIS frontend

A319916 Number of integer partitions of any number from 1 to n whose product of parts is n.

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	7
9	5
10	5
11	1
12	18
13	1
14	7
15	9
16	35
17	1
18	30
19	1
20	34
21	13
22	11
23	1
24	88
25	17
26	13
27	36
28	50
29	1
30	74
31	1
32	127
33	21
34	17
35	25
36	193
37	1
38	19
39	25
40	162
41	1
42	108
43	1
44	82
45	96
46	23
47	1
48	379
49	37
50	100
51	33
52	98
53	1
54	229
55	41
56	236
57	37
58	29
59	1
60	433
61	1
62	31
63	140
64	485
65	49

[0, 1, 1, 1, 2, 1, 3, 1, 7, 5, 5, 1, 18, 1, 7, 9, 35, 1, 30, 1, 34, 13, 11, 1, 88, 17, 13, 36, 50, 1, 74, 1, 127, 21, 17, 25, 193, 1, 19, 25, 162, 1, 108, 1, 82, 96, 23, 1, 379, 37, 100, 33, 98, 1, 229, 41, 236, 37, 29, 1, 433, 1, 31, 140, 485, 49]

cp's OEIS Frontend

A319916 Number of integer partitions of any number from 1 to n whose product of parts is n.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	7
9	5
10	5
11	1
12	18
13	1
14	7
15	9
16	35
17	1
18	30
19	1
20	34
21	13
22	11
23	1
24	88
25	17
26	13
27	36
28	50
29	1
30	74
31	1
32	127
33	21
34	17
35	25
36	193
37	1
38	19
39	25
40	162
41	1
42	108
43	1
44	82
45	96
46	23
47	1
48	379
49	37
50	100
51	33
52	98
53	1
54	229
55	41
56	236
57	37
58	29
59	1
60	433
61	1
62	31
63	140
64	485
65	49

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	7
9	5
10	5
11	1
12	18
13	1
14	7
15	9
16	35
17	1
18	30
19	1
20	34
21	13
22	11
23	1
24	88
25	17
26	13
27	36
28	50
29	1
30	74
31	1
32	127
33	21
34	17
35	25
36	193
37	1
38	19
39	25
40	162
41	1
42	108
43	1
44	82
45	96
46	23
47	1
48	379
49	37
50	100
51	33
52	98
53	1
54	229
55	41
56	236
57	37
58	29
59	1
60	433
61	1
62	31
63	140
64	485
65	49

n	a(n)
0	0
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	7
9	5
10	5
11	1
12	18
13	1
14	7
15	9
16	35
17	1
18	30
19	1
20	34
21	13
22	11
23	1
24	88
25	17
26	13
27	36
28	50
29	1
30	74
31	1
32	127
33	21
34	17
35	25
36	193
37	1
38	19
39	25
40	162
41	1
42	108
43	1
44	82
45	96
46	23
47	1
48	379
49	37
50	100
51	33
52	98
53	1
54	229
55	41
56	236
57	37
58	29
59	1
60	433
61	1
62	31
63	140
64	485
65	49