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A278075 as a simple table

na(n)
01
10
21
30
4-1
52
60
71
8-6
96
100
11-1
1214
13-36
1424
150
161
17-30
18150
19-240
20120
210
22-1
2362
24-540
251560
26-1800
27720
280
291
30-126
311806
32-8400
3316800
34-15120
355040
360
37-1
38254
39-5796
4040824
41-126000
42191520
43-141120
4440320
450
461
47-510
4818150
49-186480
50834120
51-1905120
522328480
53-1451520
54362880

[1,0,1,0,-1,2,0,1,-6,6,0,-1,14,-36,24,0,1,-30,150,
 -240,120,0,-1,62,-540,1560,-1800,720,0,1,-126,
 1806,-8400,16800,-15120,5040,0,-1,254,-5796,40824,
 -126000,191520,-141120,40320,0,1,-510,18150,
 -186480,834120,-1905120,2328480,-1451520,362880]