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A375684 as a simple table

na(n)
01
10
2-2
3-3
416
590
6-204
7-4200
8-5312
9254016
101586160
11-17970480
12-294932736
13790115040
1454224747136
15216483714720
16-10481294822400
17-137535688281600
181798183916660736
1958769251106526720
20-95282580797291520
21-23811620975395061760
22-203282679617698222080

[1,0,-2,-3,16,90,-204,-4200,-5312,254016,1586160,
 -17970480,-294932736,790115040,54224747136,
 216483714720,-10481294822400,-137535688281600,
 1798183916660736,58769251106526720,
 -95282580797291520,-23811620975395061760,
 -203282679617698222080]