olymmath

HMMT November 2014 T6

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  • Answer

Find the number of strictly increasing sequences of nonnegative integers with the following properties:

  • The first term is 0 and the last term is 12 . In particular, the sequence has at least two terms.
  • Among any two consecutive terms, exactly one of them is even.

Dataset text NuminaMath olympiads. Quoted with source.

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144

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