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A089515 as a simple table

na(n)
11
2-1
35
41
5-35
690
7-3
8595
9-6885
1012005
11143
12-150535
136175845
14-39484445
1552245760
16-58201
17316465625
18-42458934375
19772604284375
20-3322503800000
213547818864576
22216931
23-6012846875
242544269990625
25-120371747505625
261294115230100000
27-4145626343257056
283713894747640000

[1,-1,5,1,-35,90,-3,595,-6885,12005,143,-150535,
 6175845,-39484445,52245760,-58201,316465625,
 -42458934375,772604284375,-3322503800000,
 3547818864576,216931,-6012846875,2544269990625,
 -120371747505625,1294115230100000,
 -4145626343257056,3713894747640000]