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AIME 2001a Problem 14

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A mail carrier delivers mail to the nineteen houses on the east side of Elm Street. The carrier notices that no two adjacent houses ever get mail on the same day, but that there are never more than two houses in a row that get no mail on the same day. How many different patterns of mail delivery are possible?

Dataset text AIME 1983 to 2026. Quoted with source.

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351

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