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A357243 as a simple table

na(n)
01
11
2-2
36
4-52
5540
6-7608
7129304
8-2612608
960867360
10-1608663840
1147527158624
12-1552431588288
1355547889458880
14-2160724031160576
1590782738645280000
16-4097139872604807168
17197675862365363088384
18-10153243488783257091072

[1,1,-2,6,-52,540,-7608,129304,-2612608,60867360,
 -1608663840,47527158624,-1552431588288,
 55547889458880,-2160724031160576,
 90782738645280000,-4097139872604807168,
 197675862365363088384,-10153243488783257091072]