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A338448 as a simple table

na(n)
01
10
2-1
3-2
40
516
650
7-132
8-2184
9-9984
106912
11341760
1238544
13-47086272
14-702019344
15-6076389984
16-43980940800
17-656377887744
18-16782743357568
19-368775477229824
20-6770025717901056
21-118247220867640320
22-2271088046291742720
23-50203882870716579840

[1,0,-1,-2,0,16,50,-132,-2184,-9984,6912,341760,
 38544,-47086272,-702019344,-6076389984,
 -43980940800,-656377887744,-16782743357568,
 -368775477229824,-6770025717901056,
 -118247220867640320,-2271088046291742720,
 -50203882870716579840]