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A137524 as a simple table

na(n)
12
2-3
36
44
5-24
624
70
860
9-180
10120
11-24
120
13720
14-1440
15720
160
17-840
180
198400
20-12600
215040
22960
230
24-20160
250
26100800
27-120960
2840320
290
3060480
310
32-423360
330
341270080
35-1270080
36362880
37-120960
380
392419200
400
41-8467200
420
4316934400
44-14515200
453628800
460
47-11975040
480
4979833600
500
51-167650560
520

[2,-3,6,4,-24,24,0,60,-180,120,-24,0,720,-1440,
 720,0,-840,0,8400,-12600,5040,960,0,-20160,0,
 100800,-120960,40320,0,60480,0,-423360,0,1270080,
 -1270080,362880,-120960,0,2419200,0,-8467200,0,
 16934400,-14515200,3628800,0,-11975040,0,79833600,
 0,-167650560,0]