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A353608 as a simple table

na(n)
11
20
31
4-4
521
6-126
71023
8-8240
984745
10-864370
1110925883
12-133566808
131994183205
14-28455880012
15489891177051
16-8112780640000
17158096182329585
18-2911196026492074
1964115697136312563
20-1328879415116924744
2131920276313015362525
22-728711636884140292372

[1,0,1,-4,21,-126,1023,-8240,84745,-864370,
 10925883,-133566808,1994183205,-28455880012,
 489891177051,-8112780640000,158096182329585,
 -2911196026492074,64115697136312563,
 -1328879415116924744,31920276313015362525,
 -728711636884140292372]