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A343473 as a simple table

na(n)
01
11
20
3-4
40
516
6108
7-64
8-864
9-2660
10-22464
1133968
12272268
131217152
144629312
1568208188
16-98077824
17-1089798320
18-5246016084
19-32436365248
20-180561473568
21-3404617719332
225203858765248
2355902314446832
24354805454664396
252229923884913920

[1,1,0,-4,0,16,108,-64,-864,-2660,-22464,33968,
 272268,1217152,4629312,68208188,-98077824,
 -1089798320,-5246016084,-32436365248,
 -180561473568,-3404617719332,5203858765248,
 55902314446832,354805454664396,2229923884913920]