Numbers k such that k^2 contains only digits {0,4,8}, not ending with zero.

Terms

a(0) =2a(1) =22a(2) =202a(3) =298a(4) =2002a(5) =2022a(6) =2202a(7) =20002a(8) =20022a(9) =22002a(10) =28998a(11) =200002a(12) =200022a(13) =200202a(14) =202002a(15) =220002a(16) =632522a(17) =2000002a(18) =2000022a(19) =2000202a(20) =2020002a(21) =2020022a(22) =2200002a(23) =2200202a(24) =20000002a(25) =20000022a(26) =20000202a(27) =20002002a(28) =20002022a(29) =20002202