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A338933 as a simple table

na(n)
12
216
3128
41024
51458
68192
711664
831250
965536
1093312
11235298
12524288
13746496
141062882
152000000
163543122
173906250
185971968
199653618
2015059072
2122781250
2228697814
2333554432
2447775744
2548275138
2668024448
2780707214
2894091762
29128000000
30171532242
31226759808

[2,16,128,1024,1458,8192,11664,31250,65536,93312,
 235298,524288,746496,1062882,2000000,3543122,
 3906250,5971968,9653618,15059072,22781250,
 28697814,33554432,47775744,48275138,68024448,
 80707214,94091762,128000000,171532242,226759808]