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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.

A291977 Triangle read by rows, T(n, k) = Sum_{j=0..n} (-1)^(k-j)*Eulerian1(n, j)* binomial(n-j, n-k) for 0 <= k <= n.

Table of values

n a(n)
0 1
1 1
2 -1
3 1
4 -1
5 0
6 1
7 1
8 -4
9 2
10 1
11 7
12 -16
13 8
14 0
15 1
16 21
17 -28
18 -26
19 48
20 -16
21 1
22 51
23 32
24 -356
25 408
26 -136
27 0
28 1
29 113
30 492
31 -1774
32 1072
33 912
34 -1088
35 272
36 1
37 239
38 2592
39 -5008
40 -6656
41 20736
42 -15872
43 3968
44 0
45 1
46 493
47 10628
48 -50
49 -94432
50 154528
51 -57856
52 -45056
53 39680
54 -7936

List of values

[1, 1, -1, 1, -1, 0, 1, 1, -4, 2, 1, 7, -16, 8, 0, 1, 21, -28, -26, 48, -16, 1, 51, 32, -356, 408, -136, 0, 1, 113, 492, -1774, 1072, 912, -1088, 272, 1, 239, 2592, -5008, -6656, 20736, -15872, 3968, 0, 1, 493, 10628, -50, -94432, 154528, -57856, -45056, 39680, -7936]