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A329049 as a simple table

na(n)
02
13
24
35
49
516
67
725
881
9256
1011
1149
12625
136561
1465536
1513
16121
172401
18390625
1943046721
204294967296
2117
22169
2314641
245764801
25152587890625
261853020188851841
2718446744073709551616
2819
29289
3028561
31214358881
3233232930569601
3323283064365386962890625
343433683820292512484657849089281
35340282366920938463463374607431768211456

[2,3,4,5,9,16,7,25,81,256,11,49,625,6561,65536,13,
 121,2401,390625,43046721,4294967296,17,169,14641,
 5764801,152587890625,1853020188851841,
 18446744073709551616,19,289,28561,214358881,
 33232930569601,23283064365386962890625,
 3433683820292512484657849089281,
 340282366920938463463374607431768211456]