A085685 - cp's OEIS frontend

A085685 Triangle read by rows: T(n,k), n >= 0, 0 <= k <= n, is size of maximal 1-transposition-correcting code formed using binary vectors of length n and weight k. The end-around transposition is allowed.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	2
23	3
24	6
25	3
26	2
27	1
28	1
29	2
30	4
31	7
32	7
33	4
34	2
35	1
36	1
37	2
38	6
39	10
40	12
41	10
42	6
43	2
44	1
45	1
46	3
47	7
48	18
49	21
50	21
51	18
52	7
53	3
54	1
55	1
56	3
57	9
58	21
59	33
60	37
61	33
62	21
63	9
64	3
65	1
66	1
67	3
68	11
69	28
70	52
71	63
72	63
73	52
74	28
75	11
76	3
77	1

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 6, 3, 2, 1, 1, 2, 4, 7, 7, 4, 2, 1, 1, 2, 6, 10, 12, 10, 6, 2, 1, 1, 3, 7, 18, 21, 21, 18, 7, 3, 1, 1, 3, 9, 21, 33, 37, 33, 21, 9, 3, 1, 1, 3, 11, 28, 52, 63, 63, 52, 28, 11, 3, 1]

cp's OEIS Frontend

A085685 Triangle read by rows: T(n,k), n >= 0, 0 <= k <= n, is size of maximal 1-transposition-correcting code formed using binary vectors of length n and weight k. The end-around transposition is allowed.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	2
23	3
24	6
25	3
26	2
27	1
28	1
29	2
30	4
31	7
32	7
33	4
34	2
35	1
36	1
37	2
38	6
39	10
40	12
41	10
42	6
43	2
44	1
45	1
46	3
47	7
48	18
49	21
50	21
51	18
52	7
53	3
54	1
55	1
56	3
57	9
58	21
59	33
60	37
61	33
62	21
63	9
64	3
65	1
66	1
67	3
68	11
69	28
70	52
71	63
72	63
73	52
74	28
75	11
76	3
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	2
23	3
24	6
25	3
26	2
27	1
28	1
29	2
30	4
31	7
32	7
33	4
34	2
35	1
36	1
37	2
38	6
39	10
40	12
41	10
42	6
43	2
44	1
45	1
46	3
47	7
48	18
49	21
50	21
51	18
52	7
53	3
54	1
55	1
56	3
57	9
58	21
59	33
60	37
61	33
62	21
63	9
64	3
65	1
66	1
67	3
68	11
69	28
70	52
71	63
72	63
73	52
74	28
75	11
76	3
77	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	2
19	1
20	1
21	1
22	2
23	3
24	6
25	3
26	2
27	1
28	1
29	2
30	4
31	7
32	7
33	4
34	2
35	1
36	1
37	2
38	6
39	10
40	12
41	10
42	6
43	2
44	1
45	1
46	3
47	7
48	18
49	21
50	21
51	18
52	7
53	3
54	1
55	1
56	3
57	9
58	21
59	33
60	37
61	33
62	21
63	9
64	3
65	1
66	1
67	3
68	11
69	28
70	52
71	63
72	63
73	52
74	28
75	11
76	3
77	1