When in Rome

What number comes next in this series?

0, 0, 0, 0, 4, 9, 5, 1, 1, 0, 55, 55, 1, 0, 1

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The next number is 9. The numbers correspond to the Roman numerals hidden in English number names:

April 17, 2010January 24, 2013 | Puzzles