A319320 - cp's OEIS frontend

A319320 Number of integer partitions of n such that every distinct submultiset has a different LCM.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	3
8	2
9	3
10	4
11	5
12	4
13	6
14	7
15	7
16	9
17	11
18	12
19	12
20	15
21	17
22	20
23	22
24	24
25	25
26	31
27	35
28	39
29	40
30	48
31	51
32	55
33	64
34	73
35	77
36	85
37	92
38	104
39	115
40	126
41	136
42	147
43	157
44	176
45	198
46	211
47	234
48	246
49	269
50	294
51	326
52	350
53	375
54	403
55	443
56	475
57	526
58	560
59	600
60	650

[1, 1, 1, 1, 2, 1, 3, 2, 3, 4, 5, 4, 6, 7, 7, 9, 11, 12, 12, 15, 17, 20, 22, 24, 25, 31, 35, 39, 40, 48, 51, 55, 64, 73, 77, 85, 92, 104, 115, 126, 136, 147, 157, 176, 198, 211, 234, 246, 269, 294, 326, 350, 375, 403, 443, 475, 526, 560, 600, 650]

cp's OEIS Frontend

A319320 Number of integer partitions of n such that every distinct submultiset has a different LCM.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	3
8	2
9	3
10	4
11	5
12	4
13	6
14	7
15	7
16	9
17	11
18	12
19	12
20	15
21	17
22	20
23	22
24	24
25	25
26	31
27	35
28	39
29	40
30	48
31	51
32	55
33	64
34	73
35	77
36	85
37	92
38	104
39	115
40	126
41	136
42	147
43	157
44	176
45	198
46	211
47	234
48	246
49	269
50	294
51	326
52	350
53	375
54	403
55	443
56	475
57	526
58	560
59	600
60	650

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	3
8	2
9	3
10	4
11	5
12	4
13	6
14	7
15	7
16	9
17	11
18	12
19	12
20	15
21	17
22	20
23	22
24	24
25	25
26	31
27	35
28	39
29	40
30	48
31	51
32	55
33	64
34	73
35	77
36	85
37	92
38	104
39	115
40	126
41	136
42	147
43	157
44	176
45	198
46	211
47	234
48	246
49	269
50	294
51	326
52	350
53	375
54	403
55	443
56	475
57	526
58	560
59	600
60	650

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	3
8	2
9	3
10	4
11	5
12	4
13	6
14	7
15	7
16	9
17	11
18	12
19	12
20	15
21	17
22	20
23	22
24	24
25	25
26	31
27	35
28	39
29	40
30	48
31	51
32	55
33	64
34	73
35	77
36	85
37	92
38	104
39	115
40	126
41	136
42	147
43	157
44	176
45	198
46	211
47	234
48	246
49	269
50	294
51	326
52	350
53	375
54	403
55	443
56	475
57	526
58	560
59	600
60	650