a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.

Terms

a(0) =2a(1) =3a(2) =8a(3) =18a(4) =41a(5) =87a(6) =176a(7) =343a(8) =643a(9) =1165a(10) =3503a(11) =3691a(12) =3888a(13) =4095a(14) =4311a(15) =4538a(16) =4776a(17) =5025a(18) =5285a(19) =5558a(20) =5844a(21) =6143a(22) =6455a(23) =6782a(24) =7125a(25) =7482a(26) =7856a(27) =8247a(28) =8656a(29) =9083