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A345445 as a simple table

na(n)
10
21
315
4196
52765
644136
7803383
816595776
9385606089
109980041600
11285072169811
128912986937856
13302831517446653
1411111352988374016
15437883428985915375
1618446566229995503616
17827237060699483900177
1839346347252746333159424
191978418439209309500803979
20104857574454528914145280000

[0,1,15,196,2765,44136,803383,16595776,385606089,
 9980041600,285072169811,8912986937856,
 302831517446653,11111352988374016,
 437883428985915375,18446566229995503616,
 827237060699483900177,39346347252746333159424,
 1978418439209309500803979,
 104857574454528914145280000]