a(n) is the smallest number greater than a(n-1) whose name in UK English contains n vowels.

Terms

a(0) =2a(1) =3a(2) =11a(3) =14a(4) =71a(5) =102a(6) =103a(7) =111a(8) =114a(9) =171a(10) =1071a(11) =1101a(12) =1111a(13) =1114a(14) =1171a(15) =11171a(16) =14171a(17) =71171a(18) =101114a(19) =101171a(20) =111171a(21) =114171a(22) =171171a(23) =1101114a(24) =1101171a(25) =1111171a(26) =1114171a(27) =1171171a(28) =11171171a(29) =14171171