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PUZZLET 203

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.