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A169593 as a simple table

na(n)
0-1
11
2-1
31
4-1
51
62
7-1
82
9-1
106
11-4
129
13-6
141
1524
16-121
17264
18-166
1924
20-1
21120
22-44616
2393340
24-52950
254345
26-120
271
28720
29-296321796
30605003244
31-321204409
3212686988
33-164746
34720
35-1
365040
37-49349521382400
3899624831647040
39-51206316902496

[-1,1,-1,1,-1,1,2,-1,2,-1,6,-4,9,-6,1,24,-121,264,
 -166,24,-1,120,-44616,93340,-52950,4345,-120,1,
 720,-296321796,605003244,-321204409,12686988,
 -164746,720,-1,5040,-49349521382400,
 99624831647040,-51206316902496]