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A161574 as a simple table

na(n)
23
39
48
581
618
7729
830
9100
1080
1159049
1272
13531441
14320
15324
16168
1743046721
18252
19387420489
20336
211600
225120
2331381059609
24420
2510000
2620480
271764
281344
2922876792454961
301008
31205891132094649
321080
3325600
34327680
3511664
361440

[3,9,8,81,18,729,30,100,80,59049,72,531441,320,
 324,168,43046721,252,387420489,336,1600,5120,
 31381059609,420,10000,20480,1764,1344,
 22876792454961,1008,205891132094649,1080,25600,
 327680,11664,1440]