A244306 - cp's OEIS frontend

A244306 Table T(n,k), n>=1, k>=1, read by antidiagonals: T(n,k) = number of equivalence classes of ways of placing two 1 X 1 tiles in an n X k rectangle under all symmetry operations of the rectangle.

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	2
7	4
8	6
9	6
10	4
11	6
12	10
13	13
14	10
15	6
16	9
17	15
18	22
19	22
20	15
21	9
22	12
23	21
24	34
25	36
26	34
27	21
28	12
29	16
30	28
31	48
32	56
33	56
34	48
35	28
36	16
37	20
38	36
39	65
40	78
41	88
42	78
43	65
44	36
45	20
46	25
47	45
48	84
49	106
50	123
51	123
52	106
53	84
54	45
55	25
56	30
57	55
58	106
59	136
60	168
61	171
62	168
63	136
64	106
65	55
66	30

[0, 1, 1, 2, 3, 2, 4, 6, 6, 4, 6, 10, 13, 10, 6, 9, 15, 22, 22, 15, 9, 12, 21, 34, 36, 34, 21, 12, 16, 28, 48, 56, 56, 48, 28, 16, 20, 36, 65, 78, 88, 78, 65, 36, 20, 25, 45, 84, 106, 123, 123, 106, 84, 45, 25, 30, 55, 106, 136, 168, 171, 168, 136, 106, 55, 30]

cp's OEIS Frontend

A244306 Table T(n,k), n>=1, k>=1, read by antidiagonals: T(n,k) = number of equivalence classes of ways of placing two 1 X 1 tiles in an n X k rectangle under all symmetry operations of the rectangle.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	2
7	4
8	6
9	6
10	4
11	6
12	10
13	13
14	10
15	6
16	9
17	15
18	22
19	22
20	15
21	9
22	12
23	21
24	34
25	36
26	34
27	21
28	12
29	16
30	28
31	48
32	56
33	56
34	48
35	28
36	16
37	20
38	36
39	65
40	78
41	88
42	78
43	65
44	36
45	20
46	25
47	45
48	84
49	106
50	123
51	123
52	106
53	84
54	45
55	25
56	30
57	55
58	106
59	136
60	168
61	171
62	168
63	136
64	106
65	55
66	30

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	2
7	4
8	6
9	6
10	4
11	6
12	10
13	13
14	10
15	6
16	9
17	15
18	22
19	22
20	15
21	9
22	12
23	21
24	34
25	36
26	34
27	21
28	12
29	16
30	28
31	48
32	56
33	56
34	48
35	28
36	16
37	20
38	36
39	65
40	78
41	88
42	78
43	65
44	36
45	20
46	25
47	45
48	84
49	106
50	123
51	123
52	106
53	84
54	45
55	25
56	30
57	55
58	106
59	136
60	168
61	171
62	168
63	136
64	106
65	55
66	30

n	a(n)
1	0
2	1
3	1
4	2
5	3
6	2
7	4
8	6
9	6
10	4
11	6
12	10
13	13
14	10
15	6
16	9
17	15
18	22
19	22
20	15
21	9
22	12
23	21
24	34
25	36
26	34
27	21
28	12
29	16
30	28
31	48
32	56
33	56
34	48
35	28
36	16
37	20
38	36
39	65
40	78
41	88
42	78
43	65
44	36
45	20
46	25
47	45
48	84
49	106
50	123
51	123
52	106
53	84
54	45
55	25
56	30
57	55
58	106
59	136
60	168
61	171
62	168
63	136
64	106
65	55
66	30