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A199043 as a simple table

na(n)
01
11
20
3-2
48
5-16
6-112
71968
8-16896
955680
101243392
11-32546304
12427932672
13-1824506880
14-79446663168
152767039739904
16-48592416374784
17243186999164928
1817201692341633024
19-744898387504988160
2016285431143888584704
21-90779807638034841600

[1,1,0,-2,8,-16,-112,1968,-16896,55680,1243392,
 -32546304,427932672,-1824506880,-79446663168,
 2767039739904,-48592416374784,243186999164928,
 17201692341633024,-744898387504988160,
 16285431143888584704,-90779807638034841600]