Let hn denote the number of ways that a 1×n rectangle can be tiled with red, blue, green, and yellow squares, where there must be even number of red tiles, an even number of blue tiles, and at least two green tiles. (i) Fund a formula for hn. (ii) Use the formula to determine h3 and list the tiles of a 1 × 3 rectangle

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Chapter2: Second-order Linear Odes
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Let hn denote the number of ways that a 1×n rectangle can be tiled with red, blue, green, and yellow squares, where there must be even number of red tiles, an even number of blue tiles, and at least two green tiles.

(i) Fund a formula for hn.

(ii) Use the formula to determine h3 and list the tiles of a 1 × 3 rectangle 

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