A243753 - cp's OEIS frontend

A243753 Number A(n,k) of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of k, where 1=U=(1,1) and 0=D=(1,-1); square array A(n,k), n>=0, k>=0, read by antidiagonals.

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

[1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 4, 1, 1, 0, 0, 0, 1, 1, 2, 4, 1, 9, 1, 1, 0, 0, 0, 1, 1, 2, 4, 9, 1, 21, 1, 1, 0, 0, 0, 1, 1, 1, 4, 9, 21, 1, 51, 1, 1, 0, 0, 0]

cp's OEIS Frontend

A243753 Number A(n,k) of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of k, where 1=U=(1,1) and 0=D=(1,-1); square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

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

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

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