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.

A243773 Number of Dyck paths of semilength n having exactly four (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

Table of values

n a(n)
5 1
6 0
7 7
8 0
9 14
10 781
11 220
12 5685
13 12104
14 10920
15 471900
16 140
17 402920
18 10257990
19 17056745
20 82403580
21 1152019163
22 3595341849
23 2413091295
24 40392418220
25 235442534915
26 804119873760
27 2973203848860
28 15274217567340
29 32286978092250
30 94142466440960
31 909684828893676

List of values

[1, 0, 7, 0, 14, 781, 220, 5685, 12104, 10920, 471900, 140, 402920, 10257990, 17056745, 82403580, 1152019163, 3595341849, 2413091295, 40392418220, 235442534915, 804119873760, 2973203848860, 15274217567340, 32286978092250, 94142466440960, 909684828893676]