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A135338 as a simple table

na(n)
11
2-1
31
41
5-3
61
7-2
87
9-6
101
116
12-20
1325
14-10
151
16-24
1776
18-105
1965
20-15
211
22120
23-364
24511
25-385
26140
27-21
281
29-720
302108
31-2940
322401
33-1120
34266
35-28
361
375040
38-14328
3919720
40-16632
418841
42-2772
43462
44-36
451
46-40320
47111816
48-151620
49129340
50-73605
5127237
52-6090
53750
54-45
551

[1,-1,1,1,-3,1,-2,7,-6,1,6,-20,25,-10,1,-24,76,
 -105,65,-15,1,120,-364,511,-385,140,-21,1,-720,
 2108,-2940,2401,-1120,266,-28,1,5040,-14328,19720,
 -16632,8841,-2772,462,-36,1,-40320,111816,-151620,
 129340,-73605,27237,-6090,750,-45,1]