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A354042 as a simple table

na(n)
01
10
21
30
4-1
52
60
74
8-8
96
100
11-36
1272
13-60
1424
150
16600
17-1200
181020
19-480
20120
210
22-16584
2333168
24-28320
2513776
26-4200
27720
280
29705600
30-1411200
311206240
32-591360
33188160
34-40320
355040
360
37-43751232
3887502464
39-74813760
4036747648
41-11813760
422661120
43-423360
4440320

[1,0,1,0,-1,2,0,4,-8,6,0,-36,72,-60,24,0,600,
 -1200,1020,-480,120,0,-16584,33168,-28320,13776,
 -4200,720,0,705600,-1411200,1206240,-591360,
 188160,-40320,5040,0,-43751232,87502464,-74813760,
 36747648,-11813760,2661120,-423360,40320]