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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.

A269953 Triangle read by rows: T(n, k) = Sum_{j=0..n} binomial(-j-1, -n-1)*S1(j, k) where S1 are the Stirling cycle numbers A132393.

Table of values

n a(n)
0 1
1 -1
2 1
3 1
4 -1
5 1
6 -1
7 2
8 0
9 1
10 1
11 0
12 5
13 2
14 1
15 -1
16 9
17 15
18 15
19 5
20 1
21 1
22 35
23 94
24 85
25 40
26 9
27 1
28 -1
29 230
30 595
31 609
32 315
33 91
34 14
35 1
36 1
37 1624
38 4458
39 4844
40 2779
41 924
42 182
43 20
44 1
45 -1
46 13209
47 37590
48 43238
49 26817
50 9975
51 2310
52 330
53 27
54 1

List of values

[1, -1, 1, 1, -1, 1, -1, 2, 0, 1, 1, 0, 5, 2, 1, -1, 9, 15, 15, 5, 1, 1, 35, 94, 85, 40, 9, 1, -1, 230, 595, 609, 315, 91, 14, 1, 1, 1624, 4458, 4844, 2779, 924, 182, 20, 1, -1, 13209, 37590, 43238, 26817, 9975, 2310, 330, 27, 1]