Tiling a strip

MediumCombinatorics~5m

In how many ways can a 2×82\times 8 strip be tiled with 1×21\times 2 dominoes?

Show hints (2)+
  1. Condition on how the leftmost column is covered.
  2. You get a Fibonacci recurrence Tn=Tn1+Tn2T_n = T_{n-1}+T_{n-2}.

Answer

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34

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