A353504 - cp's OEIS frontend

A353504 Number of integer partitions of n whose product is less than the product of their multiplicities.

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	2
6	2
7	4
8	4
9	6
10	6
11	8
12	9
13	11
14	12
15	14
16	14
17	18
18	21
19	23
20	26
21	29
22	29
23	33
24	36
25	39
26	40
27	43
28	44
29	50
30	53
31	55
32	59
33	65
34	69
35	72
36	78
37	79
38	81
39	85
40	92
41	95
42	97
43	100
44	103
45	108
46	109
47	112
48	118
49	124
50	129
51	137
52	139
53	142
54	149
55	155
56	159
57	165
58	166
59	173
60	178
61	181
62	187

[0, 0, 1, 1, 1, 2, 2, 4, 4, 6, 6, 8, 9, 11, 12, 14, 14, 18, 21, 23, 26, 29, 29, 33, 36, 39, 40, 43, 44, 50, 53, 55, 59, 65, 69, 72, 78, 79, 81, 85, 92, 95, 97, 100, 103, 108, 109, 112, 118, 124, 129, 137, 139, 142, 149, 155, 159, 165, 166, 173, 178, 181, 187]

cp's OEIS Frontend

A353504 Number of integer partitions of n whose product is less than the product of their multiplicities.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	2
6	2
7	4
8	4
9	6
10	6
11	8
12	9
13	11
14	12
15	14
16	14
17	18
18	21
19	23
20	26
21	29
22	29
23	33
24	36
25	39
26	40
27	43
28	44
29	50
30	53
31	55
32	59
33	65
34	69
35	72
36	78
37	79
38	81
39	85
40	92
41	95
42	97
43	100
44	103
45	108
46	109
47	112
48	118
49	124
50	129
51	137
52	139
53	142
54	149
55	155
56	159
57	165
58	166
59	173
60	178
61	181
62	187

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	2
6	2
7	4
8	4
9	6
10	6
11	8
12	9
13	11
14	12
15	14
16	14
17	18
18	21
19	23
20	26
21	29
22	29
23	33
24	36
25	39
26	40
27	43
28	44
29	50
30	53
31	55
32	59
33	65
34	69
35	72
36	78
37	79
38	81
39	85
40	92
41	95
42	97
43	100
44	103
45	108
46	109
47	112
48	118
49	124
50	129
51	137
52	139
53	142
54	149
55	155
56	159
57	165
58	166
59	173
60	178
61	181
62	187

n	a(n)
0	0
1	0
2	1
3	1
4	1
5	2
6	2
7	4
8	4
9	6
10	6
11	8
12	9
13	11
14	12
15	14
16	14
17	18
18	21
19	23
20	26
21	29
22	29
23	33
24	36
25	39
26	40
27	43
28	44
29	50
30	53
31	55
32	59
33	65
34	69
35	72
36	78
37	79
38	81
39	85
40	92
41	95
42	97
43	100
44	103
45	108
46	109
47	112
48	118
49	124
50	129
51	137
52	139
53	142
54	149
55	155
56	159
57	165
58	166
59	173
60	178
61	181
62	187