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A344052 as a simple table

na(n)
01
1-1
2-1
38
419
5-276
6-1002
721216
8103395
9-2881180
10-17620142
11609297072
124483215086
13-185182296040
14-1592692090420
1576512069014400
16753146574607395
17-41256108712556460
18-457383584443526790
1928138583115102810000
20346933879489006727610
21-23683708768534714984920

[1,-1,-1,8,19,-276,-1002,21216,103395,-2881180,
 -17620142,609297072,4483215086,-185182296040,
 -1592692090420,76512069014400,753146574607395,
 -41256108712556460,-457383584443526790,
 28138583115102810000,346933879489006727610,
 -23683708768534714984920]