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A012352 as a simple table

na(n)
00
10
22
3-3
416
5-50
6200
7-336
8-6064
9116712
10-1823552
1124444200
12-343290400
134725483984
14-68637208848
151009375584840
16-15551178814464
17244877850035008
18-4005060390790656
1966944176204337280

[0,0,2,-3,16,-50,200,-336,-6064,116712,-1823552,
 24444200,-343290400,4725483984,-68637208848,
 1009375584840,-15551178814464,244877850035008,
 -4005060390790656,66944176204337280]