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A243005 as a simple table

na(n)
02
11
2-1
31
42
5-2
68
740
8-640
954400
1074854400
11-8748608000000
121406963176644608000000
1326445277668952736475397120000000000
14-79938741224658033822711947577298183091491962880000000000

[2,1,-1,1,2,-2,8,40,-640,54400,74854400,
 -8748608000000,1406963176644608000000,
 26445277668952736475397120000000000,
 -7993874122465803382271194757729818309149196288000\
 0000000]