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A369122 as a simple table

na(n)
00
10
2-1
37
4-14
5693
6-30030
74150146
8-21441420
93508377873
10-425496301230
11163608770318994
12-381271515244620
13263655717130655850
14-20916990073196036820
1528579221265797444862620
16-20735968190374168899967800
17535753174085515196009964765
18-2008476391973175078407803350

[0,0,-1,7,-14,693,-30030,4150146,-21441420,
 3508377873,-425496301230,163608770318994,
 -381271515244620,263655717130655850,
 -20916990073196036820,28579221265797444862620,
 -20735968190374168899967800,
 535753174085515196009964765,
 -2008476391973175078407803350]