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A137384 as a simple table

na(n)
12
22
38
40
52
648
70
86
9384
100
1132
120
13-10
143840
150
16240
170
18-110
1946080
200
212304
220
23-1368
240
2521
26645120
270
2826880
290
30-19488
310
32448
3310321920
340
35368640
360
37-314880
380
398992
400
41-32
42185794560
430
445806080
450
46-5702400
470
48186912
490
50-1152
513715891200
520
53103219200
540
55-114508800
560
574131840
580
59-34280
600
6146

[2,2,8,0,2,48,0,6,384,0,32,0,-10,3840,0,240,0,
 -110,46080,0,2304,0,-1368,0,21,645120,0,26880,0,
 -19488,0,448,10321920,0,368640,0,-314880,0,8992,0,
 -32,185794560,0,5806080,0,-5702400,0,186912,0,
 -1152,3715891200,0,103219200,0,-114508800,0,
 4131840,0,-34280,0,46]