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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.

A331499 T(n,k) is the number of nonintersecting arch configurations with n arches on a horizontal axis that have a starting parent arch configuration of k arches.

Table of values

n a(n)
1 1
2 1
3 1
4 2
5 1
6 2
7 4
8 3
9 2
10 5
11 10
12 6
13 7
14 5
15 14
16 24
17 18
18 15
19 19
20 14
21 42
22 66
23 42
24 48
25 43
26 56
27 42
28 132
29 174
30 130
31 116
32 143
33 132
34 174
35 132
36 429
37 504
38 332
39 374
40 358
41 451
42 423
43 561
44 429
45 1430
46 1406
47 1048
48 974
49 1182
50 1163
51 1475
52 1397
53 1859
54 1430
55 4862

List of values

[1, 1, 1, 2, 1, 2, 4, 3, 2, 5, 10, 6, 7, 5, 14, 24, 18, 15, 19, 14, 42, 66, 42, 48, 43, 56, 42, 132, 174, 130, 116, 143, 132, 174, 132, 429, 504, 332, 374, 358, 451, 423, 561, 429, 1430, 1406, 1048, 974, 1182, 1163, 1475, 1397, 1859, 1430, 4862]