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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.

A229142 Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component or all components by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 1
7 3
8 1
9 1
10 1
11 7
12 13
13 1
14 1
15 1
16 25
17 115
18 63
19 1
20 1
21 1
22 121
23 2641
24 2371
25 321
26 1
27 1
28 1
29 721
30 114121
31 392641
32 54091
33 1683
34 1
35 1
36 1
37 5041
38 7489441
39 169417921
40 67982041
41 1307377
42 8989
43 1
44 1
45 1
46 40321
47 681120721
48 137322405361
49 308238414121
50 12838867105
51 32803219
52 48639
53 1
54 1

List of values

[1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 7, 13, 1, 1, 1, 25, 115, 63, 1, 1, 1, 121, 2641, 2371, 321, 1, 1, 1, 721, 114121, 392641, 54091, 1683, 1, 1, 1, 5041, 7489441, 169417921, 67982041, 1307377, 8989, 1, 1, 1, 40321, 681120721, 137322405361, 308238414121, 12838867105, 32803219, 48639, 1, 1]