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A124342 as a simple table

na(n)
01
1-1
22
3-2
42
50
6-4
712
8-24
940
10-56
1164
12-48
13-16
14160
15-416
16800
17-1280
181728
19-1856
201152
211152
22-6016
2314336
24-26368
2540704
26-52736
2752736
28-24064
29-57344
30220160
31-488448
32862208
33-1284096
341591296
35-1458176
36348160

[1,-1,2,-2,2,0,-4,12,-24,40,-56,64,-48,-16,160,
 -416,800,-1280,1728,-1856,1152,1152,-6016,14336,
 -26368,40704,-52736,52736,-24064,-57344,220160,
 -488448,862208,-1284096,1591296,-1458176,348160]