A192095 - cp's OEIS frontend

A192095 Number of tatami tilings of an n X n square with exactly k horizontal dimers and n monomers (no restriction on the number of vertical dimers).

n	a(n)
1	1
2	2
3	2
4	2
5	4
6	4
7	2
8	2
9	4
10	6
11	8
12	6
13	4
14	2
15	2
16	4
17	6
18	12
19	12
20	8
21	12
22	12
23	6
24	4
25	2
26	2
27	4
28	6
29	12
30	18
31	20
32	18
33	16
34	16
35	18
36	20
37	18
38	12
39	6
40	4
41	2
42	2
43	4
44	6
45	12
46	18
47	28
48	34
49	32
50	32
51	28
52	28
53	28
54	28
55	32
56	32
57	34
58	28
59	18
60	12
61	6
62	4
63	2
64	2
65	4
66	6
67	12
68	18
69	28
70	44
71	52
72	54
73	60
74	58
75	52
76	54
77	48
78	40
79	48
80	54
81	52
82	58
83	60
84	54
85	52
86	44
87	28
88	18
89	12
90	6
91	4
92	2

[1, 2, 2, 2, 4, 4, 2, 2, 4, 6, 8, 6, 4, 2, 2, 4, 6, 12, 12, 8, 12, 12, 6, 4, 2, 2, 4, 6, 12, 18, 20, 18, 16, 16, 18, 20, 18, 12, 6, 4, 2, 2, 4, 6, 12, 18, 28, 34, 32, 32, 28, 28, 28, 28, 32, 32, 34, 28, 18, 12, 6, 4, 2, 2, 4, 6, 12, 18, 28, 44, 52, 54, 60, 58, 52, 54, 48, 40, 48, 54, 52, 58, 60, 54, 52, 44, 28, 18, 12, 6, 4, 2]

cp's OEIS Frontend

A192095 Number of tatami tilings of an n X n square with exactly k horizontal dimers and n monomers (no restriction on the number of vertical dimers).

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	2
5	4
6	4
7	2
8	2
9	4
10	6
11	8
12	6
13	4
14	2
15	2
16	4
17	6
18	12
19	12
20	8
21	12
22	12
23	6
24	4
25	2
26	2
27	4
28	6
29	12
30	18
31	20
32	18
33	16
34	16
35	18
36	20
37	18
38	12
39	6
40	4
41	2
42	2
43	4
44	6
45	12
46	18
47	28
48	34
49	32
50	32
51	28
52	28
53	28
54	28
55	32
56	32
57	34
58	28
59	18
60	12
61	6
62	4
63	2
64	2
65	4
66	6
67	12
68	18
69	28
70	44
71	52
72	54
73	60
74	58
75	52
76	54
77	48
78	40
79	48
80	54
81	52
82	58
83	60
84	54
85	52
86	44
87	28
88	18
89	12
90	6
91	4
92	2

n	a(n)
1	1
2	2
3	2
4	2
5	4
6	4
7	2
8	2
9	4
10	6
11	8
12	6
13	4
14	2
15	2
16	4
17	6
18	12
19	12
20	8
21	12
22	12
23	6
24	4
25	2
26	2
27	4
28	6
29	12
30	18
31	20
32	18
33	16
34	16
35	18
36	20
37	18
38	12
39	6
40	4
41	2
42	2
43	4
44	6
45	12
46	18
47	28
48	34
49	32
50	32
51	28
52	28
53	28
54	28
55	32
56	32
57	34
58	28
59	18
60	12
61	6
62	4
63	2
64	2
65	4
66	6
67	12
68	18
69	28
70	44
71	52
72	54
73	60
74	58
75	52
76	54
77	48
78	40
79	48
80	54
81	52
82	58
83	60
84	54
85	52
86	44
87	28
88	18
89	12
90	6
91	4
92	2

n	a(n)
1	1
2	2
3	2
4	2
5	4
6	4
7	2
8	2
9	4
10	6
11	8
12	6
13	4
14	2
15	2
16	4
17	6
18	12
19	12
20	8
21	12
22	12
23	6
24	4
25	2
26	2
27	4
28	6
29	12
30	18
31	20
32	18
33	16
34	16
35	18
36	20
37	18
38	12
39	6
40	4
41	2
42	2
43	4
44	6
45	12
46	18
47	28
48	34
49	32
50	32
51	28
52	28
53	28
54	28
55	32
56	32
57	34
58	28
59	18
60	12
61	6
62	4
63	2
64	2
65	4
66	6
67	12
68	18
69	28
70	44
71	52
72	54
73	60
74	58
75	52
76	54
77	48
78	40
79	48
80	54
81	52
82	58
83	60
84	54
85	52
86	44
87	28
88	18
89	12
90	6
91	4
92	2