Rectangle tiling

Task number: 3878

How many ways can you tile a rectangle \( n \times k \) by using tiles \( 1 \times 2 \)?

  • Variant

    Solve for \(k=2\).

  • Variant

    And how many different ways of tiling by the same tiles has the rectangle when \(k=3\)?

Difficulty level: Moderate task
Reasoning task
Solution require uncommon idea
Complex task
Cs translation
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