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A334515 as a simple table

na(n)
12
22
33
42
530
618
7126
82
9504
10430
11979
1218
13443
142198
156820
16976
1778812
187812
19158080
20142580
21248493
22122870
231630792
2418
252777040
264511
2781688176
28868
29463347935
305921860
311211061438
3226636800
33598772163
3440012662
35145710075
36135322524
3740583131393
38535150200
39132932362849
403936823600

[2,2,3,2,30,18,126,2,504,430,979,18,443,2198,6820,
 976,78812,7812,158080,142580,248493,122870,
 1630792,18,2777040,4511,81688176,868,463347935,
 5921860,1211061438,26636800,598772163,40012662,
 145710075,135322524,40583131393,535150200,
 132932362849,3936823600]