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A323618 as a simple table

na(n)
00
11
22
3-1
41
5-1
6-2
734
8-324
92988
10-28944
11300816
12-3371040
1340710240
14-528439680
157348717440
16-109109064960
171723814265600
18-28888702617600
19512030734387200
20-9572240647065600
21188274945999974400
22-3887144020408320000
2384062926436751360000
24-1900475323780239360000

[0,1,2,-1,1,-1,-2,34,-324,2988,-28944,300816,
 -3371040,40710240,-528439680,7348717440,
 -109109064960,1723814265600,-28888702617600,
 512030734387200,-9572240647065600,
 188274945999974400,-3887144020408320000,
 84062926436751360000,-1900475323780239360000]