A271024 - cp's OEIS frontend

A271024 Number T(n,k) of set partitions of [n] having exactly k pairs (i,j) with i < j such that i and j are in different blocks; triangle T(n,k), n >= 0, 0 <= k <= n*(n-1)/2 read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	0
6	3
7	1
8	1
9	0
10	0
11	4
12	3
13	6
14	1
15	1
16	0
17	0
18	0
19	5
20	0
21	10
22	10
23	15
24	10
25	1
26	1
27	0
28	0
29	0
30	0
31	6
32	0
33	0
34	15
35	25
36	0
37	60
38	35
39	45
40	15
41	1
42	1
43	0
44	0
45	0
46	0
47	0
48	7
49	0
50	0
51	0
52	21
53	21
54	35
55	0
56	105
57	105
58	105
59	210
60	140
61	105
62	21
63	1
64	1
65	0
66	0
67	0
68	0
69	0
70	0
71	8
72	0
73	0
74	0
75	0
76	28
77	28

[1, 1, 1, 1, 1, 0, 3, 1, 1, 0, 0, 4, 3, 6, 1, 1, 0, 0, 0, 5, 0, 10, 10, 15, 10, 1, 1, 0, 0, 0, 0, 6, 0, 0, 15, 25, 0, 60, 35, 45, 15, 1, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 21, 21, 35, 0, 105, 105, 105, 210, 140, 105, 21, 1, 1, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 28, 28]

cp's OEIS Frontend

A271024 Number T(n,k) of set partitions of [n] having exactly k pairs (i,j) with i < j such that i and j are in different blocks; triangle T(n,k), n >= 0, 0 <= k <= n*(n-1)/2 read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	0
6	3
7	1
8	1
9	0
10	0
11	4
12	3
13	6
14	1
15	1
16	0
17	0
18	0
19	5
20	0
21	10
22	10
23	15
24	10
25	1
26	1
27	0
28	0
29	0
30	0
31	6
32	0
33	0
34	15
35	25
36	0
37	60
38	35
39	45
40	15
41	1
42	1
43	0
44	0
45	0
46	0
47	0
48	7
49	0
50	0
51	0
52	21
53	21
54	35
55	0
56	105
57	105
58	105
59	210
60	140
61	105
62	21
63	1
64	1
65	0
66	0
67	0
68	0
69	0
70	0
71	8
72	0
73	0
74	0
75	0
76	28
77	28

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	0
6	3
7	1
8	1
9	0
10	0
11	4
12	3
13	6
14	1
15	1
16	0
17	0
18	0
19	5
20	0
21	10
22	10
23	15
24	10
25	1
26	1
27	0
28	0
29	0
30	0
31	6
32	0
33	0
34	15
35	25
36	0
37	60
38	35
39	45
40	15
41	1
42	1
43	0
44	0
45	0
46	0
47	0
48	7
49	0
50	0
51	0
52	21
53	21
54	35
55	0
56	105
57	105
58	105
59	210
60	140
61	105
62	21
63	1
64	1
65	0
66	0
67	0
68	0
69	0
70	0
71	8
72	0
73	0
74	0
75	0
76	28
77	28

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	0
6	3
7	1
8	1
9	0
10	0
11	4
12	3
13	6
14	1
15	1
16	0
17	0
18	0
19	5
20	0
21	10
22	10
23	15
24	10
25	1
26	1
27	0
28	0
29	0
30	0
31	6
32	0
33	0
34	15
35	25
36	0
37	60
38	35
39	45
40	15
41	1
42	1
43	0
44	0
45	0
46	0
47	0
48	7
49	0
50	0
51	0
52	21
53	21
54	35
55	0
56	105
57	105
58	105
59	210
60	140
61	105
62	21
63	1
64	1
65	0
66	0
67	0
68	0
69	0
70	0
71	8
72	0
73	0
74	0
75	0
76	28
77	28