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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.

A200057 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and elements alternately strictly increasing and strictly decreasing.

Table of values

n a(n)
1 1
2 1
3 2
4 1
5 4
6 4
7 1
8 6
9 10
10 4
11 1
12 8
13 22
14 26
15 6
16 1
17 10
18 36
19 78
20 68
21 10
22 1
23 12
24 56
25 172
26 288
27 178
28 14
29 1
30 14
31 78
32 324
33 840
34 1098
35 472
36 22
37 1
38 16
39 106
40 546
41 1948
42 4172
43 4224
44 1276
45 34
46 1
47 18
48 136
49 850
50 3914
51 11962
52 20978
53 16432
54 3462
55 52
56 1
57 20
58 172
59 1252
60 7074
61 28554
62 74338

List of values

[1, 1, 2, 1, 4, 4, 1, 6, 10, 4, 1, 8, 22, 26, 6, 1, 10, 36, 78, 68, 10, 1, 12, 56, 172, 288, 178, 14, 1, 14, 78, 324, 840, 1098, 472, 22, 1, 16, 106, 546, 1948, 4172, 4224, 1276, 34, 1, 18, 136, 850, 3914, 11962, 20978, 16432, 3462, 52, 1, 20, 172, 1252, 7074, 28554, 74338]