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A213139 as a simple table

na(n)
01
1-3
2-12
378
41824
5240
6-513120
7-5857680
8196293120
96811964160
10-57818956800
11-8095402329600
12-83402198630400
1310192670228889600
14371764953132748800
15-11291351664942336000
16-1131884186768228352000

[1,-3,-12,78,1824,240,-513120,-5857680,196293120,
 6811964160,-57818956800,-8095402329600,
 -83402198630400,10192670228889600,
 371764953132748800,-11291351664942336000,
 -1131884186768228352000]