A099172 - cp's OEIS frontend

A099172 Array T(m, n) read by antidiagonals: number of binary strings with m 1's and n 0's without zigzags.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	2
12	4
13	2
14	1
15	1
16	2
17	5
18	5
19	2
20	1
21	1
22	2
23	6
24	8
25	6
26	2
27	1
28	1
29	2
30	7
31	11
32	11
33	7
34	2
35	1
36	1
37	2
38	8
39	14
40	18
41	14
42	8
43	2
44	1
45	1
46	2
47	9
48	17
49	26
50	26
51	17
52	9
53	2
54	1
55	1
56	2
57	10
58	20
59	35
60	42
61	35
62	20
63	10
64	2
65	1
66	1
67	2
68	11
69	23
70	45
71	62
72	62
73	45
74	23
75	11
76	2
77	1
78	1
79	2
80	12
81	26
82	56
83	86
84	100
85	86
86	56
87	26
88	12
89	2
90	1

[1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 4, 2, 1, 1, 2, 5, 5, 2, 1, 1, 2, 6, 8, 6, 2, 1, 1, 2, 7, 11, 11, 7, 2, 1, 1, 2, 8, 14, 18, 14, 8, 2, 1, 1, 2, 9, 17, 26, 26, 17, 9, 2, 1, 1, 2, 10, 20, 35, 42, 35, 20, 10, 2, 1, 1, 2, 11, 23, 45, 62, 62, 45, 23, 11, 2, 1, 1, 2, 12, 26, 56, 86, 100, 86, 56, 26, 12, 2, 1]

cp's OEIS Frontend

A099172 Array T(m, n) read by antidiagonals: number of binary strings with m 1's and n 0's without zigzags.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	2
12	4
13	2
14	1
15	1
16	2
17	5
18	5
19	2
20	1
21	1
22	2
23	6
24	8
25	6
26	2
27	1
28	1
29	2
30	7
31	11
32	11
33	7
34	2
35	1
36	1
37	2
38	8
39	14
40	18
41	14
42	8
43	2
44	1
45	1
46	2
47	9
48	17
49	26
50	26
51	17
52	9
53	2
54	1
55	1
56	2
57	10
58	20
59	35
60	42
61	35
62	20
63	10
64	2
65	1
66	1
67	2
68	11
69	23
70	45
71	62
72	62
73	45
74	23
75	11
76	2
77	1
78	1
79	2
80	12
81	26
82	56
83	86
84	100
85	86
86	56
87	26
88	12
89	2
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	2
12	4
13	2
14	1
15	1
16	2
17	5
18	5
19	2
20	1
21	1
22	2
23	6
24	8
25	6
26	2
27	1
28	1
29	2
30	7
31	11
32	11
33	7
34	2
35	1
36	1
37	2
38	8
39	14
40	18
41	14
42	8
43	2
44	1
45	1
46	2
47	9
48	17
49	26
50	26
51	17
52	9
53	2
54	1
55	1
56	2
57	10
58	20
59	35
60	42
61	35
62	20
63	10
64	2
65	1
66	1
67	2
68	11
69	23
70	45
71	62
72	62
73	45
74	23
75	11
76	2
77	1
78	1
79	2
80	12
81	26
82	56
83	86
84	100
85	86
86	56
87	26
88	12
89	2
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	2
8	2
9	1
10	1
11	2
12	4
13	2
14	1
15	1
16	2
17	5
18	5
19	2
20	1
21	1
22	2
23	6
24	8
25	6
26	2
27	1
28	1
29	2
30	7
31	11
32	11
33	7
34	2
35	1
36	1
37	2
38	8
39	14
40	18
41	14
42	8
43	2
44	1
45	1
46	2
47	9
48	17
49	26
50	26
51	17
52	9
53	2
54	1
55	1
56	2
57	10
58	20
59	35
60	42
61	35
62	20
63	10
64	2
65	1
66	1
67	2
68	11
69	23
70	45
71	62
72	62
73	45
74	23
75	11
76	2
77	1
78	1
79	2
80	12
81	26
82	56
83	86
84	100
85	86
86	56
87	26
88	12
89	2
90	1