cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A243833 Number A(n,k) of Dyck paths of semilength n having exactly seven (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

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 0
15 0
16 0
17 0
18 0
19 0
20 0
21 0
22 0
23 0
24 0
25 0
26 0
27 0
28 0
29 0
30 0
31 0
32 0
33 0
34 0
35 429
36 0
37 0
38 0
39 0
40 0
41 0
42 0
43 429
44 0
45 0
46 0
47 0
48 0
49 0
50 0
51 0
52 1
53 0
54 0
55 0
56 0
57 0
58 0
59 0
60 0
61 0
62 0
63 28
64 0
65 0
66 0
67 0
68 0
69 0
70 0
71 0
72 0
73 0
74 1
75 336
76 0
77 0
78 0
79 0
80 0
81 0
82 0
83 0
84 0
85 0
86 0
87 36
88 2520
89 0
90 0
91 0
92 0
93 0
94 0
95 0
96 0
97 0
98 0
99 1
100 0
101 540
102 13860
103 0
104 0

List of values

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 429, 0, 0, 0, 0, 0, 0, 0, 429, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 2520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 540, 13860, 0, 0]