Root of the lower member A340700 of a pair of adjacent perfect powers, both with exponents > 2.

Terms

a(0) =3a(1) =2a(2) =5a(3) =3a(4) =10a(5) =6a(6) =3a(7) =15a(8) =3a(9) =21a(10) =23a(11) =77a(12) =85a(13) =42a(14) =186a(15) =283a(16) =71a(17) =79a(18) =89a(19) =99a(20) =107a(21) =143a(22) =150a(23) =165a(24) =168a(25) =188a(26) =1288a(27) =1304a(28) =273a(29) =276