A201503 - cp's OEIS frontend

A201503 T(n,k)=Number of nXk 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

n	a(n)
1	2
2	1
3	1
4	2
5	2
6	2
7	1
8	2
9	2
10	1
11	2
12	3
13	6
14	3
15	2
16	1
17	3
18	5
19	5
20	3
21	1
22	2
23	4
24	12
25	8
26	12
27	4
28	2
29	1
30	4
31	8
32	12
33	12
34	8
35	4
36	1
37	2
38	5
39	20
40	18
41	40
42	18
43	20
44	5
45	2
46	1
47	5
48	13
49	24
50	32
51	32
52	24
53	13
54	5
55	1
56	2
57	6
58	30
59	33
60	98
61	58
62	98
63	33
64	30
65	6
66	2
67	1
68	6
69	18
70	43
71	73
72	94
73	94
74	73
75	43
76	18
77	6
78	1
79	2
80	7
81	42
82	55
83	204
84	151
85	338
86	151
87	204

[2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 3, 6, 3, 2, 1, 3, 5, 5, 3, 1, 2, 4, 12, 8, 12, 4, 2, 1, 4, 8, 12, 12, 8, 4, 1, 2, 5, 20, 18, 40, 18, 20, 5, 2, 1, 5, 13, 24, 32, 32, 24, 13, 5, 1, 2, 6, 30, 33, 98, 58, 98, 33, 30, 6, 2, 1, 6, 18, 43, 73, 94, 94, 73, 43, 18, 6, 1, 2, 7, 42, 55, 204, 151, 338, 151, 204]

cp's OEIS Frontend

A201503 T(n,k)=Number of nXk 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Table of values

List of values

n	a(n)
1	2
2	1
3	1
4	2
5	2
6	2
7	1
8	2
9	2
10	1
11	2
12	3
13	6
14	3
15	2
16	1
17	3
18	5
19	5
20	3
21	1
22	2
23	4
24	12
25	8
26	12
27	4
28	2
29	1
30	4
31	8
32	12
33	12
34	8
35	4
36	1
37	2
38	5
39	20
40	18
41	40
42	18
43	20
44	5
45	2
46	1
47	5
48	13
49	24
50	32
51	32
52	24
53	13
54	5
55	1
56	2
57	6
58	30
59	33
60	98
61	58
62	98
63	33
64	30
65	6
66	2
67	1
68	6
69	18
70	43
71	73
72	94
73	94
74	73
75	43
76	18
77	6
78	1
79	2
80	7
81	42
82	55
83	204
84	151
85	338
86	151
87	204

n	a(n)
1	2
2	1
3	1
4	2
5	2
6	2
7	1
8	2
9	2
10	1
11	2
12	3
13	6
14	3
15	2
16	1
17	3
18	5
19	5
20	3
21	1
22	2
23	4
24	12
25	8
26	12
27	4
28	2
29	1
30	4
31	8
32	12
33	12
34	8
35	4
36	1
37	2
38	5
39	20
40	18
41	40
42	18
43	20
44	5
45	2
46	1
47	5
48	13
49	24
50	32
51	32
52	24
53	13
54	5
55	1
56	2
57	6
58	30
59	33
60	98
61	58
62	98
63	33
64	30
65	6
66	2
67	1
68	6
69	18
70	43
71	73
72	94
73	94
74	73
75	43
76	18
77	6
78	1
79	2
80	7
81	42
82	55
83	204
84	151
85	338
86	151
87	204

n	a(n)
1	2
2	1
3	1
4	2
5	2
6	2
7	1
8	2
9	2
10	1
11	2
12	3
13	6
14	3
15	2
16	1
17	3
18	5
19	5
20	3
21	1
22	2
23	4
24	12
25	8
26	12
27	4
28	2
29	1
30	4
31	8
32	12
33	12
34	8
35	4
36	1
37	2
38	5
39	20
40	18
41	40
42	18
43	20
44	5
45	2
46	1
47	5
48	13
49	24
50	32
51	32
52	24
53	13
54	5
55	1
56	2
57	6
58	30
59	33
60	98
61	58
62	98
63	33
64	30
65	6
66	2
67	1
68	6
69	18
70	43
71	73
72	94
73	94
74	73
75	43
76	18
77	6
78	1
79	2
80	7
81	42
82	55
83	204
84	151
85	338
86	151
87	204