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A347946 as a simple table

na(n)
10
20
31
42
54
624
748
80
94032
1017280
115400
120
13518400
14415134720
150
160
171797120
186467044147200
1939086530560
200
210
221738201006080000
2310247897088
240
259632530575360000
26706822057112371200000
27569299069913333760000
280
2954538738974720000
300

[0,0,1,2,4,24,48,0,4032,17280,5400,0,518400,
 415134720,0,0,1797120,6467044147200,39086530560,0,
 0,1738201006080000,10247897088,0,9632530575360000,
 706822057112371200000,569299069913333760000,0,
 54538738974720000,0]