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A009569 as a simple table

na(n)
00
11
2-1
35
4-20
5136
6-976
78840
8-88640
91019776
10-12933376
11181318400
12-2767631360
1345821372416
14-816582578176
1515596531778560
16-317710534983680
176876972491309056
18-157606194409701376
193812752893951672320
20-97090584769337753600
212596013487025352605696

[0,1,-1,5,-20,136,-976,8840,-88640,1019776,
 -12933376,181318400,-2767631360,45821372416,
 -816582578176,15596531778560,-317710534983680,
 6876972491309056,-157606194409701376,
 3812752893951672320,-97090584769337753600,
 2596013487025352605696]