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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.

A094507 Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having k UDUD's (here U=(1,1), D=(1,-1)).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 3
5 1
6 1
7 7
8 5
9 1
10 1
11 19
12 14
13 7
14 1
15 1
16 53
17 46
18 22
19 9
20 1
21 1
22 153
23 150
24 82
25 31
26 11
27 1
28 1
29 453
30 495
31 299
32 127
33 41
34 13
35 1
36 1
37 1367
38 1651
39 1087
40 507
41 181
42 52
43 15
44 1
45 1
46 4191
47 5539
48 3967
49 1991
50 781
51 244
52 64
53 17
54 1
55 1
56 13015
57 18692
58 14442
59 7824
60 3271
61 1128
62 316
63 77
64 19

List of values

[1, 1, 1, 1, 3, 1, 1, 7, 5, 1, 1, 19, 14, 7, 1, 1, 53, 46, 22, 9, 1, 1, 153, 150, 82, 31, 11, 1, 1, 453, 495, 299, 127, 41, 13, 1, 1, 1367, 1651, 1087, 507, 181, 52, 15, 1, 1, 4191, 5539, 3967, 1991, 781, 244, 64, 17, 1, 1, 13015, 18692, 14442, 7824, 3271, 1128, 316, 77, 19]