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A038066 as a simple table

na(n)
15
2-15
340
4-150
5624
6-2620
711160
8-48750
9217000
10-976872
114438920
12-20343700
1393900240
14-435970980
152034504992
16-9536718750
1744878791360
18-211927733500
191003867701480
20-4768371093720
2122706531339280

[5,-15,40,-150,624,-2620,11160,-48750,217000,
 -976872,4438920,-20343700,93900240,-435970980,
 2034504992,-9536718750,44878791360,-211927733500,
 1003867701480,-4768371093720,22706531339280]