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A006252 as a simple table

na(n)
01
11
21
32
44
514
638
7216
8600
96240
109552
11319296
12-519312
1328108560
14-176474352
153998454144
16-43985078784
17837126163584
18-12437000028288
19237195036797184
20-4235955315745536
2185886259443020800
22-1746536474655406080
2338320721602434017280
24-864056965711935974400

[1,1,1,2,4,14,38,216,600,6240,9552,319296,-519312,
 28108560,-176474352,3998454144,-43985078784,
 837126163584,-12437000028288,237195036797184,
 -4235955315745536,85886259443020800,
 -1746536474655406080,38320721602434017280,
 -864056965711935974400]