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A156588 as a simple table

na(n)
01
11
21
31
4-1
52
61
7-1
82
96
101
11-1
123
13-12
1424
151
16-1
174
18-36
19288
20120
211
22-1
235
24-80
252160
26-34560
27720
281
29-1
306
31-150
329600
33-777600
3424883200
355040
361
37-1
387
39-252
4031500
41-8064000
421959552000
43-125411328000
4440320
451
46-1
478
48-392
4984672
50-52920000

[1,1,1,1,-1,2,1,-1,2,6,1,-1,3,-12,24,1,-1,4,-36,
 288,120,1,-1,5,-80,2160,-34560,720,1,-1,6,-150,
 9600,-777600,24883200,5040,1,-1,7,-252,31500,
 -8064000,1959552000,-125411328000,40320,1,-1,8,
 -392,84672,-52920000]