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A371548 as a simple table

na(n)
01
12
22
316
444
5248
62136
713536
8116448
91075392
1013066560
11136385280
121811975040
1323777683200
14354509003520
155632664970240
1693712140103680
171631567291719680
1830968760551178240
19605247894280028160
2012515132360676556800
21274444506310599475200

[1,2,2,16,44,248,2136,13536,116448,1075392,
 13066560,136385280,1811975040,23777683200,
 354509003520,5632664970240,93712140103680,
 1631567291719680,30968760551178240,
 605247894280028160,12515132360676556800,
 274444506310599475200]