A243830 - cp's OEIS frontend

A243830 Number A(n,k) of Dyck paths of semilength n having exactly four (possibly overlapping) occurrences of 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	0
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	0
13	0
14	14
15	0
16	0
17	0
18	0
19	14
20	0
21	0
22	0
23	0
24	0
25	1
26	0
27	0
28	0
29	0
30	0
31	0
32	0
33	10
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	1
42	50
43	0
44	0
45	0
46	0
47	0
48	0
49	0
50	0
51	15
52	175
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	1
61	0
62	105
63	490
64	0
65	0
66	0
67	0
68	0
69	0
70	0
71	0
72	5
73	0
74	490
75	1176
76	0
77	0
78	0
79	0
80	0
81	0
82	0
83	0
84	0
85	30
86	14
87	1764
88	2520
89	0
90	0
91	0
92	0
93	0
94	0
95	0
96	0
97	1
98	0
99	140
100	210
101	5292
102	4950
103	0
104	0

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 1, 50, 0, 0, 0, 0, 0, 0, 0, 0, 15, 175, 0, 0, 0, 0, 0, 0, 0, 1, 0, 105, 490, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 490, 1176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 14, 1764, 2520, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 140, 210, 5292, 4950, 0, 0]

cp's OEIS Frontend

A243830 Number A(n,k) of Dyck paths of semilength n having exactly four (possibly overlapping) occurrences of 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