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A306044 as a simple table

na(n)
11
22
33
44
55
68
79
816
925
1027
1132
1264
1381
14125
15128
16243
17256
18512
19625
20729
211024
222048
232187
243125
254096
266561
278192
2815625
2916384
3019683
3132768
3259049
3365536
3478125
35131072
36177147
37262144
38390625
39524288
40531441
411048576
421594323
431953125
442097152
454194304
464782969
478388608

[1,2,3,4,5,8,9,16,25,27,32,64,81,125,128,243,256,
 512,625,729,1024,2048,2187,3125,4096,6561,8192,
 15625,16384,19683,32768,59049,65536,78125,131072,
 177147,262144,390625,524288,531441,1048576,
 1594323,1953125,2097152,4194304,4782969,8388608]