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A108124 as a simple table

na(n)
00
11
2-2
36
4-20
580
6-366
71904
8-11080
971424
10-505210
113891712
12-32433180
13290787328
14-2791053734
1528556359680
16-310264194320
173567710830592
18-43287834157938
19552688817143808
20-7407423764750500
21103981459115606016
22-1525675236649033822
2323354749389657604096

[0,1,-2,6,-20,80,-366,1904,-11080,71424,-505210,
 3891712,-32433180,290787328,-2791053734,
 28556359680,-310264194320,3567710830592,
 -43287834157938,552688817143808,-7407423764750500,
 103981459115606016,-1525675236649033822,
 23354749389657604096]