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A253884 as a simple table

na(n)
11
22
38
44
524
65
78192
83
964
10512
11393216
1232
137077888
14320
15384
166
173802951800684688204490109616128
1815
19300578991243264
2011
211073741824
225184
231134000
24128
25100
261664
2727
28864
29392318858461667547739736838950479151006397215279002157056000
3065536
319822276308431282926640601754292746977280
3216
331215

[1,2,8,4,24,5,8192,3,64,512,393216,32,7077888,320,
 384,6,3802951800684688204490109616128,15,
 300578991243264,11,1073741824,5184,1134000,128,
 100,1664,27,864,
 39231885846166754773973683895047915100639721527900\
 2157056000,65536,
 9822276308431282926640601754292746977280,16,1215]