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A047991 as a simple table

na(n)
01
11
2-1
31
41
5-2
61
7-2
8-5
96
101
112
12-13
13-14
1424
151
16-3
17-23
1851
1994
20-120
211
223
23-41
24-87
25400
26444
27-720
281
29-4
30-62
31200
321009
33-2356
34-3828
355040
361
374
38-94
39-296
402609
415716
42-22676
43-25584
4440320
451
46-5
47-130
48550
495273
50-17765
51-74120
52178500
53270576
54-362880

[1,1,-1,1,1,-2,1,-2,-5,6,1,2,-13,-14,24,1,-3,-23,
 51,94,-120,1,3,-41,-87,400,444,-720,1,-4,-62,200,
 1009,-2356,-3828,5040,1,4,-94,-296,2609,5716,
 -22676,-25584,40320,1,-5,-130,550,5273,-17765,
 -74120,178500,270576,-362880]