A226048 - cp's OEIS frontend

A226048 Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (2,n)-rectangular grid with k '1's and (2n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	6
12	6
13	6
14	2
15	1
16	1
17	2
18	10
19	14
20	22
21	14
22	10
23	2
24	1
25	1
26	3
27	15
28	32
29	60
30	66
31	60
32	32
33	15
34	3
35	1
36	1
37	3
38	21
39	55
40	135
41	198
42	246
43	198
44	135
45	55
46	21
47	3
48	1
49	1
50	4
51	28
52	94
53	266
54	508
55	777
56	868
57	777
58	508
59	266
60	94
61	28
62	4
63	1
64	1
65	4
66	36

[1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 6, 6, 6, 2, 1, 1, 2, 10, 14, 22, 14, 10, 2, 1, 1, 3, 15, 32, 60, 66, 60, 32, 15, 3, 1, 1, 3, 21, 55, 135, 198, 246, 198, 135, 55, 21, 3, 1, 1, 4, 28, 94, 266, 508, 777, 868, 777, 508, 266, 94, 28, 4, 1, 1, 4, 36]

cp's OEIS Frontend

A226048 Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (2,n)-rectangular grid with k '1's and (2n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	6
12	6
13	6
14	2
15	1
16	1
17	2
18	10
19	14
20	22
21	14
22	10
23	2
24	1
25	1
26	3
27	15
28	32
29	60
30	66
31	60
32	32
33	15
34	3
35	1
36	1
37	3
38	21
39	55
40	135
41	198
42	246
43	198
44	135
45	55
46	21
47	3
48	1
49	1
50	4
51	28
52	94
53	266
54	508
55	777
56	868
57	777
58	508
59	266
60	94
61	28
62	4
63	1
64	1
65	4
66	36

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	6
12	6
13	6
14	2
15	1
16	1
17	2
18	10
19	14
20	22
21	14
22	10
23	2
24	1
25	1
26	3
27	15
28	32
29	60
30	66
31	60
32	32
33	15
34	3
35	1
36	1
37	3
38	21
39	55
40	135
41	198
42	246
43	198
44	135
45	55
46	21
47	3
48	1
49	1
50	4
51	28
52	94
53	266
54	508
55	777
56	868
57	777
58	508
59	266
60	94
61	28
62	4
63	1
64	1
65	4
66	36

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	6
12	6
13	6
14	2
15	1
16	1
17	2
18	10
19	14
20	22
21	14
22	10
23	2
24	1
25	1
26	3
27	15
28	32
29	60
30	66
31	60
32	32
33	15
34	3
35	1
36	1
37	3
38	21
39	55
40	135
41	198
42	246
43	198
44	135
45	55
46	21
47	3
48	1
49	1
50	4
51	28
52	94
53	266
54	508
55	777
56	868
57	777
58	508
59	266
60	94
61	28
62	4
63	1
64	1
65	4
66	36