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A337590 as a simple table

na(n)
00
11
20
3-3
428
5-215
6-174
790223
8-3840472
9103719537
10429704110
11-357346077869
1235100093531900
13-2005608652057595
14-24108041118593418
1527881407632242902515
16-4876442148527153942384
17474102062424164433715937
1812637408141631813073125094
19-18867461801192524662360616421

[0,1,0,-3,28,-215,-174,90223,-3840472,103719537,
 429704110,-357346077869,35100093531900,
 -2005608652057595,-24108041118593418,
 27881407632242902515,-4876442148527153942384,
 474102062424164433715937,
 12637408141631813073125094,
 -18867461801192524662360616421]