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A097301 as a simple table

na(n)
01
1-1
22
3-3
43360
5-995040
639916800
7-656924748480
81214047650816000
9-169382556838010880
1015749593891765493760000
11-4054844479616799289344000
1234017686450062663131463680000
13-11402327189708082115897599590400000
14189528830020089532044244068728832000000

[1,-1,2,-3,3360,-995040,39916800,-656924748480,
 1214047650816000,-169382556838010880,
 15749593891765493760000,
 -4054844479616799289344000,
 34017686450062663131463680000,
 -11402327189708082115897599590400000,
 189528830020089532044244068728832000000]