a(n) is the smallest integer k greater than 1 and not a perfect power satisfying A373387(k^n) = n.

Terms

a(0) =2a(1) =7a(2) =55a(3) =5a(4) =95a(5) =95a(6) =385a(7) =95a(8) =1535a(9) =1535a(10) =6145a(11) =1025a(12) =24575a(13) =24575a(14) =98305a(15) =4095a(16) =393215a(17) =393215a(18) =1572865a(19) =262145a(20) =6291455a(21) =6291455a(22) =25165825a(23) =6291455a(24) =100663295a(25) =100663295a(26) =402653185a(27) =67108865a(28) =1610612735a(29) =1610612735