A143361 - cp's OEIS frontend

A143361 Triangle read by rows: T(n,k) is the number of 010-avoiding binary words of length n containing k 00 subwords (0<=k<=n-1).

n	a(n)
1	2
2	3
3	1
4	4
5	2
6	1
7	6
8	3
9	2
10	1
11	9
12	6
13	3
14	2
15	1
16	13
17	11
18	7
19	3
20	2
21	1
22	19
23	18
24	14
25	8
26	3
27	2
28	1
29	28
30	30
31	24
32	17
33	9
34	3
35	2
36	1
37	41
38	50
39	43
40	30
41	20
42	10
43	3
44	2
45	1
46	60
47	81
48	77
49	57
50	36
51	23
52	11
53	3
54	2
55	1
56	88
57	130
58	132
59	108
60	72
61	42
62	26
63	12
64	3
65	2
66	1
67	129
68	208
69	224
70	193
71	143
72	88
73	48
74	29
75	13
76	3
77	2
78	1

[2, 3, 1, 4, 2, 1, 6, 3, 2, 1, 9, 6, 3, 2, 1, 13, 11, 7, 3, 2, 1, 19, 18, 14, 8, 3, 2, 1, 28, 30, 24, 17, 9, 3, 2, 1, 41, 50, 43, 30, 20, 10, 3, 2, 1, 60, 81, 77, 57, 36, 23, 11, 3, 2, 1, 88, 130, 132, 108, 72, 42, 26, 12, 3, 2, 1, 129, 208, 224, 193, 143, 88, 48, 29, 13, 3, 2, 1]

cp's OEIS Frontend

A143361 Triangle read by rows: T(n,k) is the number of 010-avoiding binary words of length n containing k 00 subwords (0<=k<=n-1).

Table of values

List of values

n	a(n)
1	2
2	3
3	1
4	4
5	2
6	1
7	6
8	3
9	2
10	1
11	9
12	6
13	3
14	2
15	1
16	13
17	11
18	7
19	3
20	2
21	1
22	19
23	18
24	14
25	8
26	3
27	2
28	1
29	28
30	30
31	24
32	17
33	9
34	3
35	2
36	1
37	41
38	50
39	43
40	30
41	20
42	10
43	3
44	2
45	1
46	60
47	81
48	77
49	57
50	36
51	23
52	11
53	3
54	2
55	1
56	88
57	130
58	132
59	108
60	72
61	42
62	26
63	12
64	3
65	2
66	1
67	129
68	208
69	224
70	193
71	143
72	88
73	48
74	29
75	13
76	3
77	2
78	1

n	a(n)
1	2
2	3
3	1
4	4
5	2
6	1
7	6
8	3
9	2
10	1
11	9
12	6
13	3
14	2
15	1
16	13
17	11
18	7
19	3
20	2
21	1
22	19
23	18
24	14
25	8
26	3
27	2
28	1
29	28
30	30
31	24
32	17
33	9
34	3
35	2
36	1
37	41
38	50
39	43
40	30
41	20
42	10
43	3
44	2
45	1
46	60
47	81
48	77
49	57
50	36
51	23
52	11
53	3
54	2
55	1
56	88
57	130
58	132
59	108
60	72
61	42
62	26
63	12
64	3
65	2
66	1
67	129
68	208
69	224
70	193
71	143
72	88
73	48
74	29
75	13
76	3
77	2
78	1

n	a(n)
1	2
2	3
3	1
4	4
5	2
6	1
7	6
8	3
9	2
10	1
11	9
12	6
13	3
14	2
15	1
16	13
17	11
18	7
19	3
20	2
21	1
22	19
23	18
24	14
25	8
26	3
27	2
28	1
29	28
30	30
31	24
32	17
33	9
34	3
35	2
36	1
37	41
38	50
39	43
40	30
41	20
42	10
43	3
44	2
45	1
46	60
47	81
48	77
49	57
50	36
51	23
52	11
53	3
54	2
55	1
56	88
57	130
58	132
59	108
60	72
61	42
62	26
63	12
64	3
65	2
66	1
67	129
68	208
69	224
70	193
71	143
72	88
73	48
74	29
75	13
76	3
77	2
78	1