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A344818 as a simple table

na(n)
11
2-1
39
4-20
562
6-174
7556
8-1660
94911
10-14693
1144357
12-133053
13398389
14-1195207
153587853
16-10763270
1732283452
18-96850386
19290570104
20-871710994
212615074146
22-7845220010
2323535839600
24-70607518824
25211822017739
26-635466060265
271906399774635
28-5719199303975

[1,-1,9,-20,62,-174,556,-1660,4911,-14693,44357,
 -133053,398389,-1195207,3587853,-10763270,
 32283452,-96850386,290570104,-871710994,
 2615074146,-7845220010,23535839600,-70607518824,
 211822017739,-635466060265,1906399774635,
 -5719199303975]