a(1) = 1; a(n) = smallest palindrome of the form k*a(n-1) + 1.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =6a(6) =7a(7) =8a(8) =9a(9) =55a(10) =111a(11) =1111a(12) =11111a(13) =111111a(14) =1111111a(15) =11111111a(16) =111111111a(17) =1111111111a(18) =11111111111a(19) =111111111111