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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.

A330843 Square array T(n,k) = [x^n] ((1+x)^(k+1) / (1-x)^(k-1))^n, n>=0, k>=0, read by descending antidiagonals.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 2
5 -2
6 1
7 4
8 6
9 0
10 1
11 6
12 30
13 20
14 6
15 1
16 8
17 70
18 256
19 70
20 0
21 1
22 10
23 126
24 924
25 2310
26 252
27 -20
28 1
29 12
30 198
31 2240
32 12870
33 21504
34 924
35 0
36 1
37 14
38 286
39 4420
40 41990
41 184756
42 204204
43 3432
44 70
45 1
46 16
47 390
48 7680
49 104006
50 811008
51 2704156
52 1966080
53 12870
54 0

List of values

[1, 1, 0, 1, 2, -2, 1, 4, 6, 0, 1, 6, 30, 20, 6, 1, 8, 70, 256, 70, 0, 1, 10, 126, 924, 2310, 252, -20, 1, 12, 198, 2240, 12870, 21504, 924, 0, 1, 14, 286, 4420, 41990, 184756, 204204, 3432, 70, 1, 16, 390, 7680, 104006, 811008, 2704156, 1966080, 12870, 0]