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A174833 as a simple table

na(n)
01
12
22
36
43
5-5
6-2
724
8-16
9-64
10-24
11120
12-350
13-679
14-151
1574
1616
17720
18-5076
19-6746
201198
212692
22544
235040
24-73332
25-55628
2680239
2768081
288858
29-2000
30-272
3140320
32-1135296
33-18712
342522252
351417588
36-83312
37-155392
38-19840
39362880

[1,2,2,6,3,-5,-2,24,-16,-64,-24,120,-350,-679,
 -151,74,16,720,-5076,-6746,1198,2692,544,5040,
 -73332,-55628,80239,68081,8858,-2000,-272,40320,
 -1135296,-18712,2522252,1417588,-83312,-155392,
 -19840,362880]