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A293107 as a simple table

na(n)
15
2-6
31
477
5-120
660
7-20
83
9669
10-1260
111050
12-700
13315
14-84
1510
164609
17-10080
1811760
19-11760
208820
21-4704
221680
23-360
2435
2555991
26-13860
27207900
28-277200
29291060
30-232848
31138600
32-59400
3317325
34-3080
35252
36785633
37-2162160
383963960
39-6606600
408918910

[5,-6,1,77,-120,60,-20,3,669,-1260,1050,-700,315,
 -84,10,4609,-10080,11760,-11760,8820,-4704,1680,
 -360,35,55991,-13860,207900,-277200,291060,
 -232848,138600,-59400,17325,-3080,252,785633,
 -2162160,3963960,-6606600,8918910]