A113308 - cp's OEIS frontend

A113308 a(n) = the number of finite sequences of positive integers {b(k)} where (product b(k))* (sum b(k)) = n. Different orderings of the same integers are counted separately.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	4
9	2
10	5
11	1
12	8
13	1
14	7
15	4
16	10
17	1
18	13
19	1
20	15
21	6
22	11
23	1
24	27
25	2
26	13
27	8
28	28
29	1
30	27
31	1
32	36
33	10
34	17
35	4
36	62
37	1
38	19
39	12
40	59
41	1
42	47
43	1
44	66
45	19
46	23
47	1
48	118
49	2
50	31
51	16
52	91
53	1
54	78
55	8
56	117
57	18
58	29
59	1
60	193
61	1
62	31
63	26
64	159
65	10
66	115
67	1
68	153
69	22
70	51
71	1
72	320
73	1
74	37
75	35
76	190
77	6
78	161
79	1

[1, 1, 1, 2, 1, 3, 1, 4, 2, 5, 1, 8, 1, 7, 4, 10, 1, 13, 1, 15, 6, 11, 1, 27, 2, 13, 8, 28, 1, 27, 1, 36, 10, 17, 4, 62, 1, 19, 12, 59, 1, 47, 1, 66, 19, 23, 1, 118, 2, 31, 16, 91, 1, 78, 8, 117, 18, 29, 1, 193, 1, 31, 26, 159, 10, 115, 1, 153, 22, 51, 1, 320, 1, 37, 35, 190, 6, 161, 1]

cp's OEIS Frontend

A113308 a(n) = the number of finite sequences of positive integers {b(k)} where (product b(k))* (sum b(k)) = n. Different orderings of the same integers are counted separately.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	4
9	2
10	5
11	1
12	8
13	1
14	7
15	4
16	10
17	1
18	13
19	1
20	15
21	6
22	11
23	1
24	27
25	2
26	13
27	8
28	28
29	1
30	27
31	1
32	36
33	10
34	17
35	4
36	62
37	1
38	19
39	12
40	59
41	1
42	47
43	1
44	66
45	19
46	23
47	1
48	118
49	2
50	31
51	16
52	91
53	1
54	78
55	8
56	117
57	18
58	29
59	1
60	193
61	1
62	31
63	26
64	159
65	10
66	115
67	1
68	153
69	22
70	51
71	1
72	320
73	1
74	37
75	35
76	190
77	6
78	161
79	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	4
9	2
10	5
11	1
12	8
13	1
14	7
15	4
16	10
17	1
18	13
19	1
20	15
21	6
22	11
23	1
24	27
25	2
26	13
27	8
28	28
29	1
30	27
31	1
32	36
33	10
34	17
35	4
36	62
37	1
38	19
39	12
40	59
41	1
42	47
43	1
44	66
45	19
46	23
47	1
48	118
49	2
50	31
51	16
52	91
53	1
54	78
55	8
56	117
57	18
58	29
59	1
60	193
61	1
62	31
63	26
64	159
65	10
66	115
67	1
68	153
69	22
70	51
71	1
72	320
73	1
74	37
75	35
76	190
77	6
78	161
79	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	3
7	1
8	4
9	2
10	5
11	1
12	8
13	1
14	7
15	4
16	10
17	1
18	13
19	1
20	15
21	6
22	11
23	1
24	27
25	2
26	13
27	8
28	28
29	1
30	27
31	1
32	36
33	10
34	17
35	4
36	62
37	1
38	19
39	12
40	59
41	1
42	47
43	1
44	66
45	19
46	23
47	1
48	118
49	2
50	31
51	16
52	91
53	1
54	78
55	8
56	117
57	18
58	29
59	1
60	193
61	1
62	31
63	26
64	159
65	10
66	115
67	1
68	153
69	22
70	51
71	1
72	320
73	1
74	37
75	35
76	190
77	6
78	161
79	1