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A105752 as a simple table

na(n)
01
10
21
3-3
412
5-60
6360
7-2520
820160
9-181440
101814400
11-19958400
12239500800
13-3113510400
1443589145600
15-653837184000
1610461394944000
17-177843714048000
183201186852864000
19-60822550204416000
201216451004088320000
21-25545471085854720000
22562000363888803840000

[1,0,1,-3,12,-60,360,-2520,20160,-181440,1814400,
 -19958400,239500800,-3113510400,43589145600,
 -653837184000,10461394944000,-177843714048000,
 3201186852864000,-60822550204416000,
 1216451004088320000,-25545471085854720000,
 562000363888803840000]