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Mathematics, 29.07.2019 17:10 brutusjohnson1

Let tn be the number of ways to tile a 2 × n rectangle using 1 × 1 tiles and l-tiles. an l-tile is a 2 × 2 tile with the upper-right 1 × 1 square deleted. (an l tile may be rotated so that the “missing” square appears in any of the four positions.) find a recursive formula for tn along with enough initial conditions to get the recursion started. use this recursive formula to find a closed formula for tn.

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Let tn be the number of ways to tile a 2 × n rectangle using 1 × 1 tiles and l-tiles. an l-tile is a...
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