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A126967 as a simple table

na(n)
01
10
2-4
348
4-624
59600
6-175680
73790080
8-95235840
92752081920
10-90328089600
113328103116800
12-136191650918400
136131573025177600
14-301213549769932800
1516030999766605824000
16-918678402394841088000
1756387623092958789632000
18-3690023220507773140992000

[1,0,-4,48,-624,9600,-175680,3790080,-95235840,
 2752081920,-90328089600,3328103116800,
 -136191650918400,6131573025177600,
 -301213549769932800,16030999766605824000,
 -918678402394841088000,56387623092958789632000,
 -3690023220507773140992000]