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A290603 as a simple table

na(n)
02
1-1
214
3-35
4364
5-14560
679040
7-1521520
8304304000
9-852051200
1024012352000
11-2245154912000
1225560225152000
13-949379791360000
14114305326879744000
15-1643139073896320000
1675777707878512640000
17-33493746882302586880000
18193911166160699187200000
19-10684505255454525214720000
201862156630236360108851200000

[2,-1,14,-35,364,-14560,79040,-1521520,304304000,
 -852051200,24012352000,-2245154912000,
 25560225152000,-949379791360000,
 114305326879744000,-1643139073896320000,
 75777707878512640000,-33493746882302586880000,
 193911166160699187200000,
 -10684505255454525214720000,
 1862156630236360108851200000]