A225803 - cp's OEIS frontend

A225803 Number T(n,k,u) of tilings of an n X k rectangle using integer-sided square tiles, reduced for symmetry, containing u nodes that are unconnected to any of their neighbors; irregular triangle T(n,k,u), 1 <= k < n, u >= 0, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	2
11	2
12	0
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	4
21	0
22	2
23	1
24	1
25	4
26	13
27	10
28	6
29	3
30	1
31	0
32	0
33	1
34	1
35	1
36	3
37	4
38	1
39	1
40	3
41	8
42	3
43	2
44	3
45	0
46	0
47	1
48	1
49	6
50	23
51	33
52	24
53	15
54	6
55	0
56	2
57	2
58	2
59	1
60	1
61	6
62	40
63	101
64	129
65	79
66	74
67	53
68	13
69	9
70	11
71	4
72	0
73	0
74	0
75	0
76	1

[1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 4, 0, 2, 1, 1, 4, 13, 10, 6, 3, 1, 0, 0, 1, 1, 1, 3, 4, 1, 1, 3, 8, 3, 2, 3, 0, 0, 1, 1, 6, 23, 33, 24, 15, 6, 0, 2, 2, 2, 1, 1, 6, 40, 101, 129, 79, 74, 53, 13, 9, 11, 4, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A225803 Number T(n,k,u) of tilings of an n X k rectangle using integer-sided square tiles, reduced for symmetry, containing u nodes that are unconnected to any of their neighbors; irregular triangle T(n,k,u), 1 <= k < n, u >= 0, read by rows.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	2
11	2
12	0
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	4
21	0
22	2
23	1
24	1
25	4
26	13
27	10
28	6
29	3
30	1
31	0
32	0
33	1
34	1
35	1
36	3
37	4
38	1
39	1
40	3
41	8
42	3
43	2
44	3
45	0
46	0
47	1
48	1
49	6
50	23
51	33
52	24
53	15
54	6
55	0
56	2
57	2
58	2
59	1
60	1
61	6
62	40
63	101
64	129
65	79
66	74
67	53
68	13
69	9
70	11
71	4
72	0
73	0
74	0
75	0
76	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	2
11	2
12	0
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	4
21	0
22	2
23	1
24	1
25	4
26	13
27	10
28	6
29	3
30	1
31	0
32	0
33	1
34	1
35	1
36	3
37	4
38	1
39	1
40	3
41	8
42	3
43	2
44	3
45	0
46	0
47	1
48	1
49	6
50	23
51	33
52	24
53	15
54	6
55	0
56	2
57	2
58	2
59	1
60	1
61	6
62	40
63	101
64	129
65	79
66	74
67	53
68	13
69	9
70	11
71	4
72	0
73	0
74	0
75	0
76	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	2
11	2
12	0
13	1
14	1
15	1
16	2
17	2
18	1
19	2
20	4
21	0
22	2
23	1
24	1
25	4
26	13
27	10
28	6
29	3
30	1
31	0
32	0
33	1
34	1
35	1
36	3
37	4
38	1
39	1
40	3
41	8
42	3
43	2
44	3
45	0
46	0
47	1
48	1
49	6
50	23
51	33
52	24
53	15
54	6
55	0
56	2
57	2
58	2
59	1
60	1
61	6
62	40
63	101
64	129
65	79
66	74
67	53
68	13
69	9
70	11
71	4
72	0
73	0
74	0
75	0
76	1