Numbers whose squares became cubes if some digit is prepended, inserted or appended.

Terms

a(0) =2a(1) =4a(2) =5a(3) =10a(4) =31a(5) =72a(6) =75a(7) =80a(8) =162a(9) =270a(10) =383a(11) =640a(12) =1250a(13) =2000a(14) =2160a(15) =3430a(16) =4000a(17) =5000a(18) =5120a(19) =7290a(20) =10000a(21) =13310a(22) =17280a(23) =21970a(24) =27440a(25) =28875a(26) =31000a(27) =33750a(28) =40960a(29) =49130