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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.

A344557 Triangle read by rows, T(n, k) = 2^(n - k)*M(n, k, 1/2, 1/2), where M(n, k, x, y) is a generalized Motzkin recurrence. T(n, k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 1
2 1
3 5
4 2
5 1
6 13
7 11
8 3
9 1
10 57
11 36
12 18
13 4
14 1
15 201
16 165
17 70
18 26
19 5
20 1
21 861
22 646
23 339
24 116
25 35
26 6
27 1
28 3445
29 2863
30 1449
31 595
32 175
33 45
34 7
35 1
36 14897
37 12104
38 6692
39 2744
40 950
41 248
42 56
43 8
44 1
45 63313
46 53769
47 29772
48 13236
49 4686
50 1422
51 336
52 68
53 9
54 1

List of values

[1, 1, 1, 5, 2, 1, 13, 11, 3, 1, 57, 36, 18, 4, 1, 201, 165, 70, 26, 5, 1, 861, 646, 339, 116, 35, 6, 1, 3445, 2863, 1449, 595, 175, 45, 7, 1, 14897, 12104, 6692, 2744, 950, 248, 56, 8, 1, 63313, 53769, 29772, 13236, 4686, 1422, 336, 68, 9, 1]