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A363399 as a simple table

na(n)
01
13
22
37
416
59
615
788
8135
964
1031
11416
121296
131536
14625
1563
161824
1710206
1822528
1921875
207776
21127
227680
2372171
24262144
25453125
26373248
27117649
28255
2931616
30478953
312670592
327265625
3310357632
347411887
352097152
36511
37128512
383057426
3925034752
40100000000
41218350080
42265180846
43167772160
4443046721

[1,3,2,7,16,9,15,88,135,64,31,416,1296,1536,625,
 63,1824,10206,22528,21875,7776,127,7680,72171,
 262144,453125,373248,117649,255,31616,478953,
 2670592,7265625,10357632,7411887,2097152,511,
 128512,3057426,25034752,100000000,218350080,
 265180846,167772160,43046721]