Squares with strictly increasing sum of digits.

Terms

a(0) =1a(1) =4a(2) =9a(3) =49a(4) =169a(5) =289a(6) =1849a(7) =3969a(8) =6889a(9) =27889a(10) =69696a(11) =97969a(12) =499849a(13) =698896a(14) =2778889a(15) =4999696a(16) =9696996a(17) =19998784a(18) =46689889a(19) =66699889a(20) =79869969a(21) =277788889a(22) =478996996a(23) =876988996a(24) =1749999889a(25) =5599977889a(26) =7998976969a(27) =8998988769a(28) =17999978896