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A117292 as a simple table

na(n)
10
21
31
44
51
616
71
8256
9729
101296
111
124096
131
14262144
155764801
1616777216
171
182985984
191
20429981696
21282429536481
2261917364224
231
244294967296
2595367431640625
2656693912375296
27150094635296999121
28281474976710656
291
3054875873536
311

[0,1,1,4,1,16,1,256,729,1296,1,4096,1,262144,
 5764801,16777216,1,2985984,1,429981696,
 282429536481,61917364224,1,4294967296,
 95367431640625,56693912375296,150094635296999121,
 281474976710656,1,54875873536,1]