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A013278 as a simple table

na(n)
00
10
2-1
33
4-6
515
6-150
71575
8-12600
9101115
10-1103760
1114708925
12-198336600
132783105325
14-43768604880
15754367488875
16-13648397162400
17262037979177975
18-5424089927256000
19118958487086664225

[0,0,-1,3,-6,15,-150,1575,-12600,101115,-1103760,
 14708925,-198336600,2783105325,-43768604880,
 754367488875,-13648397162400,262037979177975,
 -5424089927256000,118958487086664225]