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A012402 as a simple table

na(n)
22
3-3
40
5-10
688
7336
8-5040
95256
10202752
11-2094840
1226943840
13-534147120
147877529840
15-41350410360
16-804692528640
1716885512006720
18-166653340523520
193621340758072960
20-48704381263560960
21-2035821123825148800
2299959690241598844160
23-1979439236443512264960

[2,-3,0,-10,88,336,-5040,5256,202752,-2094840,
 26943840,-534147120,7877529840,-41350410360,
 -804692528640,16885512006720,-166653340523520,
 3621340758072960,-48704381263560960,
 -2035821123825148800,99959690241598844160,
 -1979439236443512264960]