Cubes from which deleting a suitable digit leaves a square.

Terms

a(0) =1a(1) =8a(2) =64a(3) =125a(4) =216a(5) =1000a(6) =8000a(7) =9261a(8) =15625a(9) =64000a(10) =85184a(11) =262144a(12) =729000a(13) =1000000a(14) =2146689a(15) =4096000a(16) =8000000a(17) =15625000a(18) =46656000a(19) =64000000a(20) =117649000a(21) =125000000a(22) =216000000a(23) =262144000a(24) =531441000a(25) =1000000000a(26) =1771561000a(27) =2985984000a(28) =4826809000