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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.

A199847 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.

Table of values

n a(n)
1 1
2 1
3 2
4 1
5 3
6 5
7 1
8 4
9 8
10 11
11 1
12 5
13 13
14 23
15 26
16 1
17 6
18 18
19 42
20 66
21 63
22 1
23 7
24 25
25 68
26 132
27 192
28 153
29 1
30 8
31 32
32 103
33 239
34 428
35 575
36 376
37 1
38 9
39 41
40 149
41 399
42 845
43 1393
44 1739
45 931
46 1
47 10
48 50
49 206
50 630
51 1532
52 2958
53 4561
54 5307
55 2317
56 1
57 11
58 61
59 276
60 944
61 2600
62 5754
63 10349
64 15032

List of values

[1, 1, 2, 1, 3, 5, 1, 4, 8, 11, 1, 5, 13, 23, 26, 1, 6, 18, 42, 66, 63, 1, 7, 25, 68, 132, 192, 153, 1, 8, 32, 103, 239, 428, 575, 376, 1, 9, 41, 149, 399, 845, 1393, 1739, 931, 1, 10, 50, 206, 630, 1532, 2958, 4561, 5307, 2317, 1, 11, 61, 276, 944, 2600, 5754, 10349, 15032]