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A337616 as a simple table

na(n)
01
11
2-2
3-4
420
564
6-488
7-2176
822160
9126976
10-1616672
11-11321344
12172976960
131431568384
14-25518205568
15-243680935936
164964227109120
1753725527801856
18-1231298393825792
19-14893509177769984
20379260096755225600
215070334006399074304
22-142026494757146421248

[1,1,-2,-4,20,64,-488,-2176,22160,126976,-1616672,
 -11321344,172976960,1431568384,-25518205568,
 -243680935936,4964227109120,53725527801856,
 -1231298393825792,-14893509177769984,
 379260096755225600,5070334006399074304,
 -142026494757146421248]