Palindromes from Digit Sum Series

Form a series, starting from 1, thus: Add to the last number the sum of its own digits, and then repeat. Example: 1, 2, 4, 8, 16, 23, 28, 38 . . . The 595th term is 10001, both of which are numerical palindromes. How many such palindromic pairs does the series contain? |

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Last Updated: January 21st, 2010.