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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.

A269505 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 avoiding the pattern down-up in every row and column.

Table of values

n a(n)
1 1
2 1
3 2
4 1
5 6
6 4
7 1
8 14
9 54
10 8
11 1
12 34
13 420
14 600
15 16
16 1
17 92
18 3088
19 18332
20 9102
21 32
22 1
23 258
24 25226
25 480440
26 1261420
27 188472
28 64
29 1
30 722
31 239994
32 13522204
33 135988690
34 134871120
35 5118012
36 128
37 1
38 2022
39 2338286
40 492613956
41 14911788936
42 69071316466

List of values

[1, 1, 2, 1, 6, 4, 1, 14, 54, 8, 1, 34, 420, 600, 16, 1, 92, 3088, 18332, 9102, 32, 1, 258, 25226, 480440, 1261420, 188472, 64, 1, 722, 239994, 13522204, 135988690, 134871120, 5118012, 128, 1, 2022, 2338286, 492613956, 14911788936, 69071316466]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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