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A137497 as a simple table

na(n)
10
20
31
4-3
56
66
7-36
836
90
10120
11-360
12240
13-60
140
151800
16-3600
171800
180
19-2520
200
2125200
22-37800
2315120
243360
250
26-70560
270
28352800
29-423360
30141120
310
32241920
330
34-1693440
350
365080320
37-5080320
381451520
39-544320
400
4110886400
420
43-38102400
440
4576204800
46-65318400
4716329600

[0,0,1,-3,6,6,-36,36,0,120,-360,240,-60,0,1800,
 -3600,1800,0,-2520,0,25200,-37800,15120,3360,0,
 -70560,0,352800,-423360,141120,0,241920,0,
 -1693440,0,5080320,-5080320,1451520,-544320,0,
 10886400,0,-38102400,0,76204800,-65318400,
 16329600]