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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.

A176663 T(n, k) = [x^k] Sum_{j=0..n} j!*binomial(x, j), for 0 <= k <= n, triangle read by rows.

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 0
5 1
6 1
7 2
8 -2
9 1
10 1
11 -4
12 9
13 -5
14 1
15 1
16 20
17 -41
18 30
19 -9
20 1
21 1
22 -100
23 233
24 -195
25 76
26 -14
27 1
28 1
29 620
30 -1531
31 1429
32 -659
33 161
34 -20
35 1
36 1
37 -4420
38 11537
39 -11703
40 6110
41 -1799
42 302
43 -27
44 1
45 1
46 35900
47 -98047
48 106421
49 -61174
50 20650
51 -4234
52 519
53 -35
54 1

List of values

[1, 1, 1, 1, 0, 1, 1, 2, -2, 1, 1, -4, 9, -5, 1, 1, 20, -41, 30, -9, 1, 1, -100, 233, -195, 76, -14, 1, 1, 620, -1531, 1429, -659, 161, -20, 1, 1, -4420, 11537, -11703, 6110, -1799, 302, -27, 1, 1, 35900, -98047, 106421, -61174, 20650, -4234, 519, -35, 1]