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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.

A290696 Triangle read by rows, T(n, k) = [x^k](Sum_{k=0..n}(-1)^(n-k)*Stirling2(n, k)*k!* x^k)^2, for 0 <= k <= 2n.

Table of values

n a(n)
0 1
1 0
2 0
3 1
4 0
5 0
6 1
7 -4
8 4
9 0
10 0
11 1
12 -12
13 48
14 -72
15 36
16 0
17 0
18 1
19 -28
20 268
21 -1056
22 1968
23 -1728
24 576
25 0
26 0
27 1
28 -60
29 1200
30 -9480
31 37140
32 -79200
33 93600
34 -57600
35 14400
36 0
37 0
38 1
39 -124
40 4924
41 -70080
42 488640
43 -1909440
44 4466880
45 -6393600
46 5486400
47 -2592000
48 518400

List of values

[1, 0, 0, 1, 0, 0, 1, -4, 4, 0, 0, 1, -12, 48, -72, 36, 0, 0, 1, -28, 268, -1056, 1968, -1728, 576, 0, 0, 1, -60, 1200, -9480, 37140, -79200, 93600, -57600, 14400, 0, 0, 1, -124, 4924, -70080, 488640, -1909440, 4466880, -6393600, 5486400, -2592000, 518400]