a(n+1) = least positive integer not already used that begins with the last two digits of a(n).

Terms

a(0) =10a(1) =1010a(2) =1011a(3) =11a(4) =110a(5) =1012a(6) =12a(7) =120a(8) =20a(9) =2010a(10) =1013a(11) =13a(12) =130a(13) =30a(14) =3010a(15) =1014a(16) =14a(17) =140a(18) =40a(19) =4010a(20) =1015a(21) =15a(22) =150a(23) =50a(24) =5010a(25) =1016a(26) =16a(27) =160a(28) =60a(29) =6010