A057135 Palindromes whose square is a palindrome; also palindromes whose sum of squares of digits is less than 10.

0, 1, 2, 3, 11, 22, 101, 111, 121, 202, 212, 1001, 1111, 2002, 10001, 10101, 10201, 11011, 11111, 11211, 20002, 20102, 100001, 101101, 110011, 111111, 200002, 1000001, 1002001, 1010101, 1011101, 1012101, 1100011, 1102011, 1110111