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A302190 as a simple table

na(n)
00
12
2-1
32
4-6
524
6-120
7720
8-5040
940320
10-362880
113628800
12-39916800
13479001600
14-6227020800
1587178291200
16-1307674368000
1720922789888000
18-355687428096000
196402373705728000
20-121645100408832000
212432902008176640000
22-51090942171709440000

[0,2,-1,2,-6,24,-120,720,-5040,40320,-362880,
 3628800,-39916800,479001600,-6227020800,
 87178291200,-1307674368000,20922789888000,
 -355687428096000,6402373705728000,
 -121645100408832000,2432902008176640000,
 -51090942171709440000]