MathCastle
Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

Induction shows that a 2n×2n2^n \times 2^n board with any one square removed can be tiled by L-shaped trominoes (three squares each): split into four quarters and place one tromino at the centre. How many trominoes tile an 8×88 \times 8 board with one square removed?

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