a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/9) starts with n.

Terms

a(0) =2a(1) =3a(2) =6a(3) =11a(4) =21a(5) =39a(6) =69a(7) =119a(8) =199a(9) =323a(10) =795a(11) =829a(12) =866a(13) =903a(14) =942a(15) =982a(16) =1024a(17) =1067a(18) =1113a(19) =1159a(20) =1208a(21) =1258a(22) =1310a(23) =1364a(24) =1420a(25) =1478a(26) =1539a(27) =1601a(28) =1665a(29) =1732