Numbers whose square contains the same digit more than 2/3 of the time and does not end in 0.

Terms

a(0) =1a(1) =2a(2) =3a(3) =38a(4) =212a(5) =2538a(6) =6888a(7) =66592a(8) =100001a(9) =100002a(10) =100003a(11) =200001a(12) =200002a(13) =210771a(14) =300001a(15) =1000001a(16) =1000002a(17) =1000003a(18) =1000004a(19) =1000005a(20) =1055041a(21) =2000001a(22) =2000002a(23) =2000003a(24) =2000005a(25) =2059962a(26) =2131888a(27) =2356384a(28) =3000001a(29) =3000002