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A354393 as a simple table

na(n)
01
10
20
30
4-1
5-10
6-65
7-350
8-1631
9-5250
1018395
11685850
1210485739
13127737610
141336804105
1511432407350
1654280609109
17-712071643930
18-29671691715185
19-660215774400350
20-11770593620859521
21-176475952496559870
22-2055362595355830475
23-9749893741512339250

[1,0,0,0,-1,-10,-65,-350,-1631,-5250,18395,685850,
 10485739,127737610,1336804105,11432407350,
 54280609109,-712071643930,-29671691715185,
 -660215774400350,-11770593620859521,
 -176475952496559870,-2055362595355830475,
 -9749893741512339250]