a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/8) starts with n.

Terms

a(0) =2a(1) =3a(2) =5a(3) =9a(4) =15a(5) =26a(6) =43a(7) =70a(8) =111a(9) =170a(10) =379a(11) =393a(12) =409a(13) =424a(14) =440a(15) =457a(16) =474a(17) =492a(18) =511a(19) =530a(20) =549a(21) =570a(22) =590a(23) =612a(24) =634a(25) =657a(26) =681a(27) =706a(28) =731a(29) =757