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A356908 as a simple table

na(n)
01
12
2-2
324
4-272
54840
6-107496
72934400
8-94501760
93511914624
10-147882696960
116959217277056
12-361941871760256
1320616017227643136
14-1276341094954066176
1585337532623368181760
16-6128269375791673718784
17470426144496265208979456

[1,2,-2,24,-272,4840,-107496,2934400,-94501760,
 3511914624,-147882696960,6959217277056,
 -361941871760256,20616017227643136,
 -1276341094954066176,85337532623368181760,
 -6128269375791673718784,470426144496265208979456]