cp's OEIS Frontend

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.

A351791 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} (-k * (n-j))^j/j!.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 2
6 1
7 1
8 0
9 6
10 1
11 1
12 -2
13 -3
14 24
15 1
16 1
17 -4
18 -6
19 -4
20 120
21 1
22 1
23 -6
24 -3
25 40
26 25
27 720
28 1
29 1
30 -8
31 6
32 132
33 120
34 114
35 5040
36 1
37 1
38 -10
39 21
40 248
41 -375
42 -1872
43 -287
44 40320
45 1
46 1
47 -12
48 42
49 364
50 -2120
51 -8298
52 -3920
53 -4152
54 362880
55 1
56 1
57 -14
58 69
59 456
60 -5655
61 -12144
62 86121
63 155776
64 -1647
65 3628800

List of values

[1, 1, 1, 1, 1, 2, 1, 1, 0, 6, 1, 1, -2, -3, 24, 1, 1, -4, -6, -4, 120, 1, 1, -6, -3, 40, 25, 720, 1, 1, -8, 6, 132, 120, 114, 5040, 1, 1, -10, 21, 248, -375, -1872, -287, 40320, 1, 1, -12, 42, 364, -2120, -8298, -3920, -4152, 362880, 1, 1, -14, 69, 456, -5655, -12144, 86121, 155776, -1647, 3628800]