A262312 - cp's OEIS frontend

A262312 The limit, as word-length approaches infinity, of the probability that a random binary word is an instance of the Zimin pattern "aba"; also the probability that a random infinite binary word begins with an even-length palindrome.

n	a(n)
0	7
1	3
2	2
3	2
4	1
5	3
6	1
7	5
8	9
9	7
10	8
11	2
12	1
13	1
14	0
15	8
16	8
17	7
18	6
19	2
20	3
21	3
22	2
23	8
24	5
25	9
26	6
27	4
28	1
29	5
30	6
31	9
32	7
33	4
34	4
35	7
36	4
37	4
38	4
39	9
40	4
41	0
42	1
43	0
44	2
45	0
46	0
47	6
48	5
49	1
50	5
51	4
52	6
53	7
54	9
55	2
56	3
57	6
58	8
59	8
60	1
61	1
62	1
63	4
64	8
65	8
66	7
67	8
68	5
69	0
70	6
71	2
72	2
73	1
74	4
75	7
76	6
77	7
78	2
79	3
80	7

[7, 3, 2, 2, 1, 3, 1, 5, 9, 7, 8, 2, 1, 1, 0, 8, 8, 7, 6, 2, 3, 3, 2, 8, 5, 9, 6, 4, 1, 5, 6, 9, 7, 4, 4, 7, 4, 4, 4, 9, 4, 0, 1, 0, 2, 0, 0, 6, 5, 1, 5, 4, 6, 7, 9, 2, 3, 6, 8, 8, 1, 1, 1, 4, 8, 8, 7, 8, 5, 0, 6, 2, 2, 1, 4, 7, 6, 7, 2, 3, 7]

cp's OEIS Frontend

A262312 The limit, as word-length approaches infinity, of the probability that a random binary word is an instance of the Zimin pattern "aba"; also the probability that a random infinite binary word begins with an even-length palindrome.

Table of values

List of values

n	a(n)
0	7
1	3
2	2
3	2
4	1
5	3
6	1
7	5
8	9
9	7
10	8
11	2
12	1
13	1
14	0
15	8
16	8
17	7
18	6
19	2
20	3
21	3
22	2
23	8
24	5
25	9
26	6
27	4
28	1
29	5
30	6
31	9
32	7
33	4
34	4
35	7
36	4
37	4
38	4
39	9
40	4
41	0
42	1
43	0
44	2
45	0
46	0
47	6
48	5
49	1
50	5
51	4
52	6
53	7
54	9
55	2
56	3
57	6
58	8
59	8
60	1
61	1
62	1
63	4
64	8
65	8
66	7
67	8
68	5
69	0
70	6
71	2
72	2
73	1
74	4
75	7
76	6
77	7
78	2
79	3
80	7

n	a(n)
0	7
1	3
2	2
3	2
4	1
5	3
6	1
7	5
8	9
9	7
10	8
11	2
12	1
13	1
14	0
15	8
16	8
17	7
18	6
19	2
20	3
21	3
22	2
23	8
24	5
25	9
26	6
27	4
28	1
29	5
30	6
31	9
32	7
33	4
34	4
35	7
36	4
37	4
38	4
39	9
40	4
41	0
42	1
43	0
44	2
45	0
46	0
47	6
48	5
49	1
50	5
51	4
52	6
53	7
54	9
55	2
56	3
57	6
58	8
59	8
60	1
61	1
62	1
63	4
64	8
65	8
66	7
67	8
68	5
69	0
70	6
71	2
72	2
73	1
74	4
75	7
76	6
77	7
78	2
79	3
80	7

n	a(n)
0	7
1	3
2	2
3	2
4	1
5	3
6	1
7	5
8	9
9	7
10	8
11	2
12	1
13	1
14	0
15	8
16	8
17	7
18	6
19	2
20	3
21	3
22	2
23	8
24	5
25	9
26	6
27	4
28	1
29	5
30	6
31	9
32	7
33	4
34	4
35	7
36	4
37	4
38	4
39	9
40	4
41	0
42	1
43	0
44	2
45	0
46	0
47	6
48	5
49	1
50	5
51	4
52	6
53	7
54	9
55	2
56	3
57	6
58	8
59	8
60	1
61	1
62	1
63	4
64	8
65	8
66	7
67	8
68	5
69	0
70	6
71	2
72	2
73	1
74	4
75	7
76	6
77	7
78	2
79	3
80	7