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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.

A176013 Triangle, read by rows, T(n, k) = (-1)^n * n!/(k*k!) * binomial(n-1, k-1) * binomial(n, k-1).

Table of values

n a(n)
1 -1
2 2
3 1
4 -6
5 -9
6 -1
7 24
8 72
9 24
10 1
11 -120
12 -600
13 -400
14 -50
15 -1
16 720
17 5400
18 6000
19 1500
20 90
21 1
22 -5040
23 -52920
24 -88200
25 -36750
26 -4410
27 -147
28 -1
29 40320
30 564480
31 1317120
32 823200
33 164640
34 10976
35 224
36 1
37 -362880
38 -6531840
39 -20321280
40 -17781120
41 -5334336
42 -592704
43 -24192
44 -324
45 -1

List of values

[-1, 2, 1, -6, -9, -1, 24, 72, 24, 1, -120, -600, -400, -50, -1, 720, 5400, 6000, 1500, 90, 1, -5040, -52920, -88200, -36750, -4410, -147, -1, 40320, 564480, 1317120, 823200, 164640, 10976, 224, 1, -362880, -6531840, -20321280, -17781120, -5334336, -592704, -24192, -324, -1]