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A066667 as a simple table

na(n)
01
12
2-1
36
4-6
51
624
7-36
812
9-1
10120
11-240
12120
13-20
141
15720
16-1800
171200
18-300
1930
20-1
215040
22-15120
2312600
24-4200
25630
26-42
271
2840320
29-141120
30141120
31-58800
3211760
33-1176
3456
35-1
36362880
37-1451520
381693440
39-846720
40211680
41-28224
422016

[1,2,-1,6,-6,1,24,-36,12,-1,120,-240,120,-20,1,
 720,-1800,1200,-300,30,-1,5040,-15120,12600,-4200,
 630,-42,1,40320,-141120,141120,-58800,11760,-1176,
 56,-1,362880,-1451520,1693440,-846720,211680,
 -28224,2016]