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.

A110220 Triangle read by rows: T(n,k) (0 <= k <= floor(n/2)) is the number of lattice paths from (0,0) to (2n,0) consisting of steps U=(1,1), D=(1,-1), H=(2,0), never going below the x-axis (i.e., Schroeder paths) and having k UH's.

Table of values

n a(n)
0 1
1 2
2 5
3 1
4 15
5 7
6 51
7 37
8 2
9 188
10 181
11 25
12 731
13 866
14 204
15 5
16 2950
17 4124
18 1393
19 91
20 12235
21 19657
22 8672
23 1008
24 14
25 51822
26 93937
27 51147
28 8856
29 336
30 223191
31 450220
32 291470
33 68085
34 4710
35 42
36 974427
37 2163910
38 1622665
39 480535
40 50655
41 1254
42 4302645

List of values

[1, 2, 5, 1, 15, 7, 51, 37, 2, 188, 181, 25, 731, 866, 204, 5, 2950, 4124, 1393, 91, 12235, 19657, 8672, 1008, 14, 51822, 93937, 51147, 8856, 336, 223191, 450220, 291470, 68085, 4710, 42, 974427, 2163910, 1622665, 480535, 50655, 1254, 4302645]