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A370890 A(n, k) = 2^n*Pochhammer(k/2, floor((n+1)/2)). Square array read by ascending antidiagonals.

Table of values

n a(n)
0 1
1 0
2 1
3 0
4 1
5 1
6 0
7 2
8 2
9 1
10 0
11 6
12 4
13 3
14 1
15 0
16 12
17 16
18 6
19 4
20 1
21 0
22 60
23 32
24 30
25 8
26 5
27 1
28 0
29 120
30 192
31 60
32 48
33 10
34 6
35 1
36 0
37 840
38 384
39 420
40 96
41 70
42 12
43 7
44 1
45 0
46 1680
47 3072
48 840
49 768
50 140
51 96
52 14
53 8
54 1
55 0
56 15120
57 6144
58 7560
59 1536
60 1260
61 192
62 126
63 16
64 9
65 1

List of values

[1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 6, 4, 3, 1, 0, 12, 16, 6, 4, 1, 0, 60, 32, 30, 8, 5, 1, 0, 120, 192, 60, 48, 10, 6, 1, 0, 840, 384, 420, 96, 70, 12, 7, 1, 0, 1680, 3072, 840, 768, 140, 96, 14, 8, 1, 0, 15120, 6144, 7560, 1536, 1260, 192, 126, 16, 9, 1]