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A137376 as a simple table

na(n)
11
2-1
31
4-2
5-1
61
7-6
8-7
90
101
11-24
12-38
13-13
142
151
16-120
17-226
18-125
19-15
205
211
22-720
23-1524
24-1076
25-285
26-5
279
281
29-5040
30-11628
31-9604
32-3521
33-490
3428
3514
361
37-40320
38-99504
39-91988
40-41020
41-8911
42-616
4398
4420
451
46-362880
47-945936
48-953532
49-487432
50-134757
51-18375
52-378
53222
5427
551
56-3628800

[1,-1,1,-2,-1,1,-6,-7,0,1,-24,-38,-13,2,1,-120,
 -226,-125,-15,5,1,-720,-1524,-1076,-285,-5,9,1,
 -5040,-11628,-9604,-3521,-490,28,14,1,-40320,
 -99504,-91988,-41020,-8911,-616,98,20,1,-362880,
 -945936,-953532,-487432,-134757,-18375,-378,222,
 27,1,-3628800]