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A126962 as a simple table

na(n)
01
11
2-2
3-12
424
5420
6-720
7-30240
840320
93764880
10-3628800
11-728481600
12479001600
13203545742400
14-87178291200
15-77806624896000
1620922789888000
1739045031657632000
18-6402373705728000
19-24904933604014464000
202432902008176640000
2119678195269815322240000
22-1124000727777607680000

[1,1,-2,-12,24,420,-720,-30240,40320,3764880,
 -3628800,-728481600,479001600,203545742400,
 -87178291200,-77806624896000,20922789888000,
 39045031657632000,-6402373705728000,
 -24904933604014464000,2432902008176640000,
 19678195269815322240000,-1124000727777607680000]