a(n+1) = a(n) + (largest palindrome in decimal representation of a(n)), a(0) = 1.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =22a(6) =44a(7) =88a(8) =176a(9) =183a(10) =191a(11) =382a(12) =390a(13) =399a(14) =498a(15) =507a(16) =514a(17) =519a(18) =528a(19) =536a(20) =542a(21) =547a(22) =554a(23) =609a(24) =618a(25) =626a(26) =1252a(27) =1504a(28) =1509a(29) =1518