A180987 - cp's OEIS frontend

A180987 T(n,k)=number of nXk binary matrices with rows in lexicographically nonincreasing order and columns in lexicographically strictly increasing order.

n	a(n)
1	2
2	1
3	3
4	0
5	3
6	4
7	0
8	1
9	6
10	5
11	0
12	0
13	4
14	10
15	6
16	0
17	0
18	1
19	10
20	15
21	7
22	0
23	0
24	0
25	5
26	20
27	21
28	8
29	0
30	0
31	0
32	1
33	15
34	35
35	28
36	9
37	0
38	0
39	0
40	0
41	6
42	35
43	56
44	36
45	10
46	0
47	0
48	0
49	0
50	1
51	21
52	70
53	84
54	45
55	11
56	0
57	0
58	0
59	0
60	0
61	7
62	56
63	126
64	120
65	55
66	12
67	0
68	0
69	0
70	0
71	0
72	1
73	28
74	126
75	210
76	165
77	66
78	13
79	0
80	0
81	0
82	0
83	0
84	0
85	8
86	84
87	252
88	330

[2, 1, 3, 0, 3, 4, 0, 1, 6, 5, 0, 0, 4, 10, 6, 0, 0, 1, 10, 15, 7, 0, 0, 0, 5, 20, 21, 8, 0, 0, 0, 1, 15, 35, 28, 9, 0, 0, 0, 0, 6, 35, 56, 36, 10, 0, 0, 0, 0, 1, 21, 70, 84, 45, 11, 0, 0, 0, 0, 0, 7, 56, 126, 120, 55, 12, 0, 0, 0, 0, 0, 1, 28, 126, 210, 165, 66, 13, 0, 0, 0, 0, 0, 0, 8, 84, 252, 330]

cp's OEIS Frontend

A180987 T(n,k)=number of nXk binary matrices with rows in lexicographically nonincreasing order and columns in lexicographically strictly increasing order.

Table of values

List of values

n	a(n)
1	2
2	1
3	3
4	0
5	3
6	4
7	0
8	1
9	6
10	5
11	0
12	0
13	4
14	10
15	6
16	0
17	0
18	1
19	10
20	15
21	7
22	0
23	0
24	0
25	5
26	20
27	21
28	8
29	0
30	0
31	0
32	1
33	15
34	35
35	28
36	9
37	0
38	0
39	0
40	0
41	6
42	35
43	56
44	36
45	10
46	0
47	0
48	0
49	0
50	1
51	21
52	70
53	84
54	45
55	11
56	0
57	0
58	0
59	0
60	0
61	7
62	56
63	126
64	120
65	55
66	12
67	0
68	0
69	0
70	0
71	0
72	1
73	28
74	126
75	210
76	165
77	66
78	13
79	0
80	0
81	0
82	0
83	0
84	0
85	8
86	84
87	252
88	330

n	a(n)
1	2
2	1
3	3
4	0
5	3
6	4
7	0
8	1
9	6
10	5
11	0
12	0
13	4
14	10
15	6
16	0
17	0
18	1
19	10
20	15
21	7
22	0
23	0
24	0
25	5
26	20
27	21
28	8
29	0
30	0
31	0
32	1
33	15
34	35
35	28
36	9
37	0
38	0
39	0
40	0
41	6
42	35
43	56
44	36
45	10
46	0
47	0
48	0
49	0
50	1
51	21
52	70
53	84
54	45
55	11
56	0
57	0
58	0
59	0
60	0
61	7
62	56
63	126
64	120
65	55
66	12
67	0
68	0
69	0
70	0
71	0
72	1
73	28
74	126
75	210
76	165
77	66
78	13
79	0
80	0
81	0
82	0
83	0
84	0
85	8
86	84
87	252
88	330

n	a(n)
1	2
2	1
3	3
4	0
5	3
6	4
7	0
8	1
9	6
10	5
11	0
12	0
13	4
14	10
15	6
16	0
17	0
18	1
19	10
20	15
21	7
22	0
23	0
24	0
25	5
26	20
27	21
28	8
29	0
30	0
31	0
32	1
33	15
34	35
35	28
36	9
37	0
38	0
39	0
40	0
41	6
42	35
43	56
44	36
45	10
46	0
47	0
48	0
49	0
50	1
51	21
52	70
53	84
54	45
55	11
56	0
57	0
58	0
59	0
60	0
61	7
62	56
63	126
64	120
65	55
66	12
67	0
68	0
69	0
70	0
71	0
72	1
73	28
74	126
75	210
76	165
77	66
78	13
79	0
80	0
81	0
82	0
83	0
84	0
85	8
86	84
87	252
88	330