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A102412 as a simple table

na(n)
10
21
3-4
44
50
696
7-396
8108
90
101012320
11-192900
12-64890
1311460
1490
15-2038014720
161977810240
17-304486560
18-12131280
192792160
2021840
21-33190735737600
224445760574080
232334485260800
24-394554283200
252330344800
261198048320
278215200

[0,1,-4,4,0,96,-396,108,0,1012320,-192900,-64890,
 11460,90,-2038014720,1977810240,-304486560,
 -12131280,2792160,21840,-33190735737600,
 4445760574080,2334485260800,-394554283200,
 2330344800,1198048320,8215200]