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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.

A362019 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = (-1)^n * Sum_{j=0..n} (-k*j)^j * binomial(n,j).

Table of values

n a(n)
0 1
1 1
2 -1
3 1
4 0
5 1
6 1
7 1
8 3
9 -1
10 1
11 2
12 13
13 17
14 1
15 1
16 3
17 31
18 173
19 169
20 -1
21 1
22 4
23 57
24 629
25 3321
26 2079
27 1
28 1
29 5
30 91
31 1547
32 18025
33 81529
34 31261
35 -1
36 1
37 6
38 133
39 3089
40 58993
41 662639
42 2443333
43 554483
44 1
45 1
46 7
47 183
48 5417
49 147081
50 2888979
51 29752957
52 86475493
53 11336753
54 -1

List of values

[1, 1, -1, 1, 0, 1, 1, 1, 3, -1, 1, 2, 13, 17, 1, 1, 3, 31, 173, 169, -1, 1, 4, 57, 629, 3321, 2079, 1, 1, 5, 91, 1547, 18025, 81529, 31261, -1, 1, 6, 133, 3089, 58993, 662639, 2443333, 554483, 1, 1, 7, 183, 5417, 147081, 2888979, 29752957, 86475493, 11336753, -1]