A386585 - cp's OEIS frontend

A386585 Triangle read by rows where T(n,k) is the number of integer partitions y of n into k = 0..n parts such that any multiset whose multiplicities are the parts of y is separable.

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

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

cp's OEIS Frontend

A386585 Triangle read by rows where T(n,k) is the number of integer partitions y of n into k = 0..n parts such that any multiset whose multiplicities are the parts of y is separable.

Table of values

List of values

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

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

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