a(n) = (10^n + 26)/9.

Terms

a(0) =3a(1) =4a(2) =14a(3) =114a(4) =1114a(5) =11114a(6) =111114a(7) =1111114a(8) =11111114a(9) =111111114a(10) =1111111114a(11) =11111111114a(12) =111111111114