A073880 a(1) = 1, a(n) = smallest palindrome not included earlier such that a(1)+...+a(n) is a palindrome.

1, 2, 3, 5, 11, 22, 33, 44, 101, 111, 121, 131, 202, 212, 222, 1001, 1111, 1221, 1331, 2002, 2112, 2222, 10001, 10101, 10201, 10301, 11011, 11111, 12021, 13031, 22222, 100001, 101101, 102201, 103301, 110011, 111111, 120021, 130031, 20202, 1000001