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A289089 as a simple table

na(n)
00
12
24
38
416
50
6-480
7-5632
8-48896
9-355328
10-1901056
11667648
12238217216
134976025600
1475193896960
15911384117248
167730931236864
17-6549305294848
18-2307879895433216
19-69748749748928512
20-1498587541480669184
21-25307341803434803200
22-292113960612790272000

[0,2,4,8,16,0,-480,-5632,-48896,-355328,-1901056,
 667648,238217216,4976025600,75193896960,
 911384117248,7730931236864,-6549305294848,
 -2307879895433216,-69748749748928512,
 -1498587541480669184,-25307341803434803200,
 -292113960612790272000]