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A343206 as a simple table

na(n)
01
1-1
22
3-3
424
5-20
6720
7-630
84480
9-36288
103628800
11-3326400
12479001600
13-444787200
145811886080
15-81729648000
1620922789888000
17-19760412672000
186402373705728000
19-6082255020441600
20115852476579840000
21-2322315553259520000
221124000727777607680000
23-1077167364120207360000

[1,-1,2,-3,24,-20,720,-630,4480,-36288,3628800,
 -3326400,479001600,-444787200,5811886080,
 -81729648000,20922789888000,-19760412672000,
 6402373705728000,-6082255020441600,
 115852476579840000,-2322315553259520000,
 1124000727777607680000,-1077167364120207360000]